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Finding the Fourth Proportional to 10,654.12, 14,701.94 and 6,117.32

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Solution

The fourth proportional to 10,654.12, 14,701.94 and 6,117.32 is: 8,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.12 : 14,701.94 = 6,117.32 : x
  2. Step 2: Convert to fraction form
    10,654.12/14,701.94 = 6,117.32/x
  3. Step 3: Cross multiply
    10,654.12x = 14,701.94 × 6,117.32
  4. Step 4: Simplify right side
    10,654.12x = 89,936,471.60
  5. Step 5: Solve for x
    x = 89,936,471.60/10,654.12
  6. Step 6: Final answer
    x = 8,441.47

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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.