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Finding the Fourth Proportional to 10,612.93, 14,660.79 and 10,052.41

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Solution

The fourth proportional to 10,612.93, 14,660.79 and 10,052.41 is: 13,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.93 : 14,660.79 = 10,052.41 : x
  2. Step 2: Convert to fraction form
    10,612.93/14,660.79 = 10,052.41/x
  3. Step 3: Cross multiply
    10,612.93x = 14,660.79 × 10,052.41
  4. Step 4: Simplify right side
    10,612.93x = 147,376,266.38
  5. Step 5: Solve for x
    x = 147,376,266.38/10,612.93
  6. Step 6: Final answer
    x = 13,886.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.