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Finding the Fourth Proportional to 7,446.77, 10,276.47 and 4,089.50

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Solution

The fourth proportional to 7,446.77, 10,276.47 and 4,089.50 is: 5,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.77 : 10,276.47 = 4,089.50 : x
  2. Step 2: Convert to fraction form
    7,446.77/10,276.47 = 4,089.50/x
  3. Step 3: Cross multiply
    7,446.77x = 10,276.47 × 4,089.50
  4. Step 4: Simplify right side
    7,446.77x = 42,025,572.68
  5. Step 5: Solve for x
    x = 42,025,572.68/7,446.77
  6. Step 6: Final answer
    x = 5,643.47

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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.