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Finding the Fourth Proportional to 10,782.05, 16,077.85 and 9,471.17

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Solution

The fourth proportional to 10,782.05, 16,077.85 and 9,471.17 is: 14,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.05 : 16,077.85 = 9,471.17 : x
  2. Step 2: Convert to fraction form
    10,782.05/16,077.85 = 9,471.17/x
  3. Step 3: Cross multiply
    10,782.05x = 16,077.85 × 9,471.17
  4. Step 4: Simplify right side
    10,782.05x = 152,276,050.58
  5. Step 5: Solve for x
    x = 152,276,050.58/10,782.05
  6. Step 6: Final answer
    x = 14,123.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.