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Finding the Fourth Proportional to 10,242.62, 15,364.22 and 5,564.87

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Solution

The fourth proportional to 10,242.62, 15,364.22 and 5,564.87 is: 8,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.62 : 15,364.22 = 5,564.87 : x
  2. Step 2: Convert to fraction form
    10,242.62/15,364.22 = 5,564.87/x
  3. Step 3: Cross multiply
    10,242.62x = 15,364.22 × 5,564.87
  4. Step 4: Simplify right side
    10,242.62x = 85,499,782.31
  5. Step 5: Solve for x
    x = 85,499,782.31/10,242.62
  6. Step 6: Final answer
    x = 8,347.46

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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.