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Finding the Fourth Proportional to 7,446.53, 10,276.34 and 4,089.49

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Solution

The fourth proportional to 7,446.53, 10,276.34 and 4,089.49 is: 5,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.53 : 10,276.34 = 4,089.49 : x
  2. Step 2: Convert to fraction form
    7,446.53/10,276.34 = 4,089.49/x
  3. Step 3: Cross multiply
    7,446.53x = 10,276.34 × 4,089.49
  4. Step 4: Simplify right side
    7,446.53x = 42,024,989.67
  5. Step 5: Solve for x
    x = 42,024,989.67/7,446.53
  6. Step 6: Final answer
    x = 5,643.57

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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.