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Finding the Fourth Proportional to 11,306.88, 15,605.10 and 9,415.80

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Solution

The fourth proportional to 11,306.88, 15,605.10 and 9,415.80 is: 12,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.88 : 15,605.10 = 9,415.80 : x
  2. Step 2: Convert to fraction form
    11,306.88/15,605.10 = 9,415.80/x
  3. Step 3: Cross multiply
    11,306.88x = 15,605.10 × 9,415.80
  4. Step 4: Simplify right side
    11,306.88x = 146,934,500.58
  5. Step 5: Solve for x
    x = 146,934,500.58/11,306.88
  6. Step 6: Final answer
    x = 12,995.14

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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.