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Finding the Fourth Proportional to 7,095.68, 10,642.08 and 6,744.44

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Solution

The fourth proportional to 7,095.68, 10,642.08 and 6,744.44 is: 10,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.68 : 10,642.08 = 6,744.44 : x
  2. Step 2: Convert to fraction form
    7,095.68/10,642.08 = 6,744.44/x
  3. Step 3: Cross multiply
    7,095.68x = 10,642.08 × 6,744.44
  4. Step 4: Simplify right side
    7,095.68x = 71,774,870.04
  5. Step 5: Solve for x
    x = 71,774,870.04/7,095.68
  6. Step 6: Final answer
    x = 10,115.29

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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.