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Finding the Fourth Proportional to 12,565.11, 17,339.07 and 6,898.77

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Solution

The fourth proportional to 12,565.11, 17,339.07 and 6,898.77 is: 9,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.11 : 17,339.07 = 6,898.77 : x
  2. Step 2: Convert to fraction form
    12,565.11/17,339.07 = 6,898.77/x
  3. Step 3: Cross multiply
    12,565.11x = 17,339.07 × 6,898.77
  4. Step 4: Simplify right side
    12,565.11x = 119,618,255.94
  5. Step 5: Solve for x
    x = 119,618,255.94/12,565.11
  6. Step 6: Final answer
    x = 9,519.87

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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.