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Finding the Fourth Proportional to 10,470.53, 15,677.82 and 8,809.76

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Solution

The fourth proportional to 10,470.53, 15,677.82 and 8,809.76 is: 13,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.53 : 15,677.82 = 8,809.76 : x
  2. Step 2: Convert to fraction form
    10,470.53/15,677.82 = 8,809.76/x
  3. Step 3: Cross multiply
    10,470.53x = 15,677.82 × 8,809.76
  4. Step 4: Simplify right side
    10,470.53x = 138,117,870.72
  5. Step 5: Solve for x
    x = 138,117,870.72/10,470.53
  6. Step 6: Final answer
    x = 13,191.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.