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Finding the Fourth Proportional to 10,197.78, 15,295.32 and 4,645.14

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Solution

The fourth proportional to 10,197.78, 15,295.32 and 4,645.14 is: 6,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.78 : 15,295.32 = 4,645.14 : x
  2. Step 2: Convert to fraction form
    10,197.78/15,295.32 = 4,645.14/x
  3. Step 3: Cross multiply
    10,197.78x = 15,295.32 × 4,645.14
  4. Step 4: Simplify right side
    10,197.78x = 71,048,902.74
  5. Step 5: Solve for x
    x = 71,048,902.74/10,197.78
  6. Step 6: Final answer
    x = 6,967.10

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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.