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Finding the Fourth Proportional to 10,668.15, 15,979.14 and 7,740

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Solution

The fourth proportional to 10,668.15, 15,979.14 and 7,740 is: 11,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.15 : 15,979.14 = 7,740 : x
  2. Step 2: Convert to fraction form
    10,668.15/15,979.14 = 7,740/x
  3. Step 3: Cross multiply
    10,668.15x = 15,979.14 × 7,740
  4. Step 4: Simplify right side
    10,668.15x = 123,678,543.60
  5. Step 5: Solve for x
    x = 123,678,543.60/10,668.15
  6. Step 6: Final answer
    x = 11,593.25

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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.