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Finding the Fourth Proportional to 7,159.24, 9,874.02 and 4,796.92

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Solution

The fourth proportional to 7,159.24, 9,874.02 and 4,796.92 is: 6,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.24 : 9,874.02 = 4,796.92 : x
  2. Step 2: Convert to fraction form
    7,159.24/9,874.02 = 4,796.92/x
  3. Step 3: Cross multiply
    7,159.24x = 9,874.02 × 4,796.92
  4. Step 4: Simplify right side
    7,159.24x = 47,364,884.02
  5. Step 5: Solve for x
    x = 47,364,884.02/7,159.24
  6. Step 6: Final answer
    x = 6,615.91

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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.