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Finding the Fourth Proportional to 10,532.47, 14,534.07 and 5,816.38

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Solution

The fourth proportional to 10,532.47, 14,534.07 and 5,816.38 is: 8,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.47 : 14,534.07 = 5,816.38 : x
  2. Step 2: Convert to fraction form
    10,532.47/14,534.07 = 5,816.38/x
  3. Step 3: Cross multiply
    10,532.47x = 14,534.07 × 5,816.38
  4. Step 4: Simplify right side
    10,532.47x = 84,535,601.40
  5. Step 5: Solve for x
    x = 84,535,601.40/10,532.47
  6. Step 6: Final answer
    x = 8,026.19

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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.