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Finding the Fourth Proportional to 10,248.66, 14,140.89 and 6,520.50

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Solution

The fourth proportional to 10,248.66, 14,140.89 and 6,520.50 is: 8,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.66 : 14,140.89 = 6,520.50 : x
  2. Step 2: Convert to fraction form
    10,248.66/14,140.89 = 6,520.50/x
  3. Step 3: Cross multiply
    10,248.66x = 14,140.89 × 6,520.50
  4. Step 4: Simplify right side
    10,248.66x = 92,205,673.25
  5. Step 5: Solve for x
    x = 92,205,673.25/10,248.66
  6. Step 6: Final answer
    x = 8,996.85

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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.