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Finding the Fourth Proportional to 10,654.32, 14,704.08 and 6,406.77

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Solution

The fourth proportional to 10,654.32, 14,704.08 and 6,406.77 is: 8,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.32 : 14,704.08 = 6,406.77 : x
  2. Step 2: Convert to fraction form
    10,654.32/14,704.08 = 6,406.77/x
  3. Step 3: Cross multiply
    10,654.32x = 14,704.08 × 6,406.77
  4. Step 4: Simplify right side
    10,654.32x = 94,205,658.62
  5. Step 5: Solve for x
    x = 94,205,658.62/10,654.32
  6. Step 6: Final answer
    x = 8,842.02

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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.