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Finding the Fourth Proportional to 10,602.92, 14,632.69 and 5,887.28

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Solution

The fourth proportional to 10,602.92, 14,632.69 and 5,887.28 is: 8,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.92 : 14,632.69 = 5,887.28 : x
  2. Step 2: Convert to fraction form
    10,602.92/14,632.69 = 5,887.28/x
  3. Step 3: Cross multiply
    10,602.92x = 14,632.69 × 5,887.28
  4. Step 4: Simplify right side
    10,602.92x = 86,146,743.18
  5. Step 5: Solve for x
    x = 86,146,743.18/10,602.92
  6. Step 6: Final answer
    x = 8,124.81

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