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Finding the Fourth Proportional to 7,446.46, 10,275.71 and 4,089.71

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Solution

The fourth proportional to 7,446.46, 10,275.71 and 4,089.71 is: 5,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.46 : 10,275.71 = 4,089.71 : x
  2. Step 2: Convert to fraction form
    7,446.46/10,275.71 = 4,089.71/x
  3. Step 3: Cross multiply
    7,446.46x = 10,275.71 × 4,089.71
  4. Step 4: Simplify right side
    7,446.46x = 42,024,653.50
  5. Step 5: Solve for x
    x = 42,024,653.50/7,446.46
  6. Step 6: Final answer
    x = 5,643.58

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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.