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Finding the Fourth Proportional to 7,870.48, 11,780.76 and 4,397.20

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Solution

The fourth proportional to 7,870.48, 11,780.76 and 4,397.20 is: 6,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.48 : 11,780.76 = 4,397.20 : x
  2. Step 2: Convert to fraction form
    7,870.48/11,780.76 = 4,397.20/x
  3. Step 3: Cross multiply
    7,870.48x = 11,780.76 × 4,397.20
  4. Step 4: Simplify right side
    7,870.48x = 51,802,357.87
  5. Step 5: Solve for x
    x = 51,802,357.87/7,870.48
  6. Step 6: Final answer
    x = 6,581.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.