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Finding the Fourth Proportional to 10,165.50, 14,024.48 and 6,387.12

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Solution

The fourth proportional to 10,165.50, 14,024.48 and 6,387.12 is: 8,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.50 : 14,024.48 = 6,387.12 : x
  2. Step 2: Convert to fraction form
    10,165.50/14,024.48 = 6,387.12/x
  3. Step 3: Cross multiply
    10,165.50x = 14,024.48 × 6,387.12
  4. Step 4: Simplify right side
    10,165.50x = 89,576,004.76
  5. Step 5: Solve for x
    x = 89,576,004.76/10,165.50
  6. Step 6: Final answer
    x = 8,811.77

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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.