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Finding the Fourth Proportional to 7,898.40, 11,775.96 and 7,693.20

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Solution

The fourth proportional to 7,898.40, 11,775.96 and 7,693.20 is: 11,470.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.40 : 11,775.96 = 7,693.20 : x
  2. Step 2: Convert to fraction form
    7,898.40/11,775.96 = 7,693.20/x
  3. Step 3: Cross multiply
    7,898.40x = 11,775.96 × 7,693.20
  4. Step 4: Simplify right side
    7,898.40x = 90,594,815.47
  5. Step 5: Solve for x
    x = 90,594,815.47/7,898.40
  6. Step 6: Final answer
    x = 11,470.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.