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Finding the Fourth Proportional to 10,653.49, 14,701.15 and 5,873.19

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Solution

The fourth proportional to 10,653.49, 14,701.15 and 5,873.19 is: 8,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653.49 : 14,701.15 = 5,873.19 : x
  2. Step 2: Convert to fraction form
    10,653.49/14,701.15 = 5,873.19/x
  3. Step 3: Cross multiply
    10,653.49x = 14,701.15 × 5,873.19
  4. Step 4: Simplify right side
    10,653.49x = 86,342,599.38
  5. Step 5: Solve for x
    x = 86,342,599.38/10,653.49
  6. Step 6: Final answer
    x = 8,104.63

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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.