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Finding the Fourth Proportional to 11,534.01, 17,306.18 and 5,607.65

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Solution

The fourth proportional to 11,534.01, 17,306.18 and 5,607.65 is: 8,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.01 : 17,306.18 = 5,607.65 : x
  2. Step 2: Convert to fraction form
    11,534.01/17,306.18 = 5,607.65/x
  3. Step 3: Cross multiply
    11,534.01x = 17,306.18 × 5,607.65
  4. Step 4: Simplify right side
    11,534.01x = 97,046,885.71
  5. Step 5: Solve for x
    x = 97,046,885.71/11,534.01
  6. Step 6: Final answer
    x = 8,413.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.