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Finding the Fourth Proportional to 7,470.33, 10,308.97 and 4,113.07

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Solution

The fourth proportional to 7,470.33, 10,308.97 and 4,113.07 is: 5,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.33 : 10,308.97 = 4,113.07 : x
  2. Step 2: Convert to fraction form
    7,470.33/10,308.97 = 4,113.07/x
  3. Step 3: Cross multiply
    7,470.33x = 10,308.97 × 4,113.07
  4. Step 4: Simplify right side
    7,470.33x = 42,401,494.67
  5. Step 5: Solve for x
    x = 42,401,494.67/7,470.33
  6. Step 6: Final answer
    x = 5,675.99

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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.