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Finding the Fourth Proportional to 10,465.64, 14,443.38 and 5,990.79

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Solution

The fourth proportional to 10,465.64, 14,443.38 and 5,990.79 is: 8,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.64 : 14,443.38 = 5,990.79 : x
  2. Step 2: Convert to fraction form
    10,465.64/14,443.38 = 5,990.79/x
  3. Step 3: Cross multiply
    10,465.64x = 14,443.38 × 5,990.79
  4. Step 4: Simplify right side
    10,465.64x = 86,527,256.47
  5. Step 5: Solve for x
    x = 86,527,256.47/10,465.64
  6. Step 6: Final answer
    x = 8,267.75

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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.