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Finding the Fourth Proportional to 10,136.61, 15,174.95 and 5,740.74

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Solution

The fourth proportional to 10,136.61, 15,174.95 and 5,740.74 is: 8,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136.61 : 15,174.95 = 5,740.74 : x
  2. Step 2: Convert to fraction form
    10,136.61/15,174.95 = 5,740.74/x
  3. Step 3: Cross multiply
    10,136.61x = 15,174.95 × 5,740.74
  4. Step 4: Simplify right side
    10,136.61x = 87,115,413.76
  5. Step 5: Solve for x
    x = 87,115,413.76/10,136.61
  6. Step 6: Final answer
    x = 8,594.14

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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.