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Finding the Fourth Proportional to 10,604.13, 14,647.49 and 8,070.86

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Solution

The fourth proportional to 10,604.13, 14,647.49 and 8,070.86 is: 11,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.13 : 14,647.49 = 8,070.86 : x
  2. Step 2: Convert to fraction form
    10,604.13/14,647.49 = 8,070.86/x
  3. Step 3: Cross multiply
    10,604.13x = 14,647.49 × 8,070.86
  4. Step 4: Simplify right side
    10,604.13x = 118,217,727.55
  5. Step 5: Solve for x
    x = 118,217,727.55/10,604.13
  6. Step 6: Final answer
    x = 11,148.27

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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.