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Finding the Fourth Proportional to 7,103.18, 10,646.12 and 5,023.78

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Solution

The fourth proportional to 7,103.18, 10,646.12 and 5,023.78 is: 7,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.18 : 10,646.12 = 5,023.78 : x
  2. Step 2: Convert to fraction form
    7,103.18/10,646.12 = 5,023.78/x
  3. Step 3: Cross multiply
    7,103.18x = 10,646.12 × 5,023.78
  4. Step 4: Simplify right side
    7,103.18x = 53,483,743.15
  5. Step 5: Solve for x
    x = 53,483,743.15/7,103.18
  6. Step 6: Final answer
    x = 7,529.55

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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.