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Finding the Fourth Proportional to 10,471.86, 14,454.53 and 6,705.17

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Solution

The fourth proportional to 10,471.86, 14,454.53 and 6,705.17 is: 9,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.86 : 14,454.53 = 6,705.17 : x
  2. Step 2: Convert to fraction form
    10,471.86/14,454.53 = 6,705.17/x
  3. Step 3: Cross multiply
    10,471.86x = 14,454.53 × 6,705.17
  4. Step 4: Simplify right side
    10,471.86x = 96,920,092.19
  5. Step 5: Solve for x
    x = 96,920,092.19/10,471.86
  6. Step 6: Final answer
    x = 9,255.29

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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.