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Finding the Fourth Proportional to 7,261.80, 10,017.96 and 4,743.24

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Solution

The fourth proportional to 7,261.80, 10,017.96 and 4,743.24 is: 6,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.80 : 10,017.96 = 4,743.24 : x
  2. Step 2: Convert to fraction form
    7,261.80/10,017.96 = 4,743.24/x
  3. Step 3: Cross multiply
    7,261.80x = 10,017.96 × 4,743.24
  4. Step 4: Simplify right side
    7,261.80x = 47,517,588.59
  5. Step 5: Solve for x
    x = 47,517,588.59/7,261.80
  6. Step 6: Final answer
    x = 6,543.50

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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.