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Finding the Fourth Proportional to 7,159.48, 10,737.60 and 3,265

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Solution

The fourth proportional to 7,159.48, 10,737.60 and 3,265 is: 4,896.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.48 : 10,737.60 = 3,265 : x
  2. Step 2: Convert to fraction form
    7,159.48/10,737.60 = 3,265/x
  3. Step 3: Cross multiply
    7,159.48x = 10,737.60 × 3,265
  4. Step 4: Simplify right side
    7,159.48x = 35,058,264
  5. Step 5: Solve for x
    x = 35,058,264/7,159.48
  6. Step 6: Final answer
    x = 4,896.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.