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Finding the Fourth Proportional to 10,442.52, 15,666.48 and 4,600.80

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Solution

The fourth proportional to 10,442.52, 15,666.48 and 4,600.80 is: 6,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.52 : 15,666.48 = 4,600.80 : x
  2. Step 2: Convert to fraction form
    10,442.52/15,666.48 = 4,600.80/x
  3. Step 3: Cross multiply
    10,442.52x = 15,666.48 × 4,600.80
  4. Step 4: Simplify right side
    10,442.52x = 72,078,341.18
  5. Step 5: Solve for x
    x = 72,078,341.18/10,442.52
  6. Step 6: Final answer
    x = 6,902.39

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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.