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Finding the Fourth Proportional to 7,446.30, 10,275.94 and 4,089.26

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Solution

The fourth proportional to 7,446.30, 10,275.94 and 4,089.26 is: 5,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.30 : 10,275.94 = 4,089.26 : x
  2. Step 2: Convert to fraction form
    7,446.30/10,275.94 = 4,089.26/x
  3. Step 3: Cross multiply
    7,446.30x = 10,275.94 × 4,089.26
  4. Step 4: Simplify right side
    7,446.30x = 42,020,990.40
  5. Step 5: Solve for x
    x = 42,020,990.40/7,446.30
  6. Step 6: Final answer
    x = 5,643.20

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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.