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Finding the Fourth Proportional to 7,470.83, 10,309.66 and 4,113.57

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Solution

The fourth proportional to 7,470.83, 10,309.66 and 4,113.57 is: 5,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.83 : 10,309.66 = 4,113.57 : x
  2. Step 2: Convert to fraction form
    7,470.83/10,309.66 = 4,113.57/x
  3. Step 3: Cross multiply
    7,470.83x = 10,309.66 × 4,113.57
  4. Step 4: Simplify right side
    7,470.83x = 42,409,487.52
  5. Step 5: Solve for x
    x = 42,409,487.52/7,470.83
  6. Step 6: Final answer
    x = 5,676.68

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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.