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Finding the Fourth Proportional to 7,158.24, 9,872.64 and 4,795.92

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Solution

The fourth proportional to 7,158.24, 9,872.64 and 4,795.92 is: 6,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.24 : 9,872.64 = 4,795.92 : x
  2. Step 2: Convert to fraction form
    7,158.24/9,872.64 = 4,795.92/x
  3. Step 3: Cross multiply
    7,158.24x = 9,872.64 × 4,795.92
  4. Step 4: Simplify right side
    7,158.24x = 47,348,391.63
  5. Step 5: Solve for x
    x = 47,348,391.63/7,158.24
  6. Step 6: Final answer
    x = 6,614.53

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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.