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Finding the Fourth Proportional to 7,446.08, 10,275.84 and 4,089.20

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Solution

The fourth proportional to 7,446.08, 10,275.84 and 4,089.20 is: 5,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.08 : 10,275.84 = 4,089.20 : x
  2. Step 2: Convert to fraction form
    7,446.08/10,275.84 = 4,089.20/x
  3. Step 3: Cross multiply
    7,446.08x = 10,275.84 × 4,089.20
  4. Step 4: Simplify right side
    7,446.08x = 42,019,964.93
  5. Step 5: Solve for x
    x = 42,019,964.93/7,446.08
  6. Step 6: Final answer
    x = 5,643.23

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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.