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Finding the Fourth Proportional to 10,245.26, 15,346.02 and 7,781.24

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Solution

The fourth proportional to 10,245.26, 15,346.02 and 7,781.24 is: 11,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.26 : 15,346.02 = 7,781.24 : x
  2. Step 2: Convert to fraction form
    10,245.26/15,346.02 = 7,781.24/x
  3. Step 3: Cross multiply
    10,245.26x = 15,346.02 × 7,781.24
  4. Step 4: Simplify right side
    10,245.26x = 119,411,064.66
  5. Step 5: Solve for x
    x = 119,411,064.66/10,245.26
  6. Step 6: Final answer
    x = 11,655.25

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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.