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Finding the Fourth Proportional to 7,870.08, 11,802.24 and 3,253.44

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Solution

The fourth proportional to 7,870.08, 11,802.24 and 3,253.44 is: 4,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.08 : 11,802.24 = 3,253.44 : x
  2. Step 2: Convert to fraction form
    7,870.08/11,802.24 = 3,253.44/x
  3. Step 3: Cross multiply
    7,870.08x = 11,802.24 × 3,253.44
  4. Step 4: Simplify right side
    7,870.08x = 38,397,879.71
  5. Step 5: Solve for x
    x = 38,397,879.71/7,870.08
  6. Step 6: Final answer
    x = 4,878.97

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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.