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Finding the Fourth Proportional to 10,442.50, 15,670.74 and 3,868.74

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Solution

The fourth proportional to 10,442.50, 15,670.74 and 3,868.74 is: 5,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.50 : 15,670.74 = 3,868.74 : x
  2. Step 2: Convert to fraction form
    10,442.50/15,670.74 = 3,868.74/x
  3. Step 3: Cross multiply
    10,442.50x = 15,670.74 × 3,868.74
  4. Step 4: Simplify right side
    10,442.50x = 60,626,018.67
  5. Step 5: Solve for x
    x = 60,626,018.67/10,442.50
  6. Step 6: Final answer
    x = 5,805.70

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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.