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Finding the Fourth Proportional to 10,505.72, 14,497.70 and 5,725.71

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Solution

The fourth proportional to 10,505.72, 14,497.70 and 5,725.71 is: 7,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.72 : 14,497.70 = 5,725.71 : x
  2. Step 2: Convert to fraction form
    10,505.72/14,497.70 = 5,725.71/x
  3. Step 3: Cross multiply
    10,505.72x = 14,497.70 × 5,725.71
  4. Step 4: Simplify right side
    10,505.72x = 83,009,553.38
  5. Step 5: Solve for x
    x = 83,009,553.38/10,505.72
  6. Step 6: Final answer
    x = 7,901.37

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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.