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Finding the Fourth Proportional to 10,471.56, 14,442.56 and 6,490.42

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Solution

The fourth proportional to 10,471.56, 14,442.56 and 6,490.42 is: 8,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.56 : 14,442.56 = 6,490.42 : x
  2. Step 2: Convert to fraction form
    10,471.56/14,442.56 = 6,490.42/x
  3. Step 3: Cross multiply
    10,471.56x = 14,442.56 × 6,490.42
  4. Step 4: Simplify right side
    10,471.56x = 93,738,280.28
  5. Step 5: Solve for x
    x = 93,738,280.28/10,471.56
  6. Step 6: Final answer
    x = 8,951.70

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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.