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Finding the Fourth Proportional to 10,089.65, 15,121.16 and 7,740.68

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Solution

The fourth proportional to 10,089.65, 15,121.16 and 7,740.68 is: 11,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.65 : 15,121.16 = 7,740.68 : x
  2. Step 2: Convert to fraction form
    10,089.65/15,121.16 = 7,740.68/x
  3. Step 3: Cross multiply
    10,089.65x = 15,121.16 × 7,740.68
  4. Step 4: Simplify right side
    10,089.65x = 117,048,059.89
  5. Step 5: Solve for x
    x = 117,048,059.89/10,089.65
  6. Step 6: Final answer
    x = 11,600.80

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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.