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Finding the Fourth Proportional to 7,470.90, 10,310.01 and 4,113.78

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Solution

The fourth proportional to 7,470.90, 10,310.01 and 4,113.78 is: 5,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.90 : 10,310.01 = 4,113.78 : x
  2. Step 2: Convert to fraction form
    7,470.90/10,310.01 = 4,113.78/x
  3. Step 3: Cross multiply
    7,470.90x = 10,310.01 × 4,113.78
  4. Step 4: Simplify right side
    7,470.90x = 42,413,112.94
  5. Step 5: Solve for x
    x = 42,413,112.94/7,470.90
  6. Step 6: Final answer
    x = 5,677.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.