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Finding the Fourth Proportional to 7,456.76, 10,290.06 and 4,470.83

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Solution

The fourth proportional to 7,456.76, 10,290.06 and 4,470.83 is: 6,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.76 : 10,290.06 = 4,470.83 : x
  2. Step 2: Convert to fraction form
    7,456.76/10,290.06 = 4,470.83/x
  3. Step 3: Cross multiply
    7,456.76x = 10,290.06 × 4,470.83
  4. Step 4: Simplify right side
    7,456.76x = 46,005,057.50
  5. Step 5: Solve for x
    x = 46,005,057.50/7,456.76
  6. Step 6: Final answer
    x = 6,169.58

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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.