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Finding the Fourth Proportional to 7,152.48, 9,870.84 and 5,380.92

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Solution

The fourth proportional to 7,152.48, 9,870.84 and 5,380.92 is: 7,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.48 : 9,870.84 = 5,380.92 : x
  2. Step 2: Convert to fraction form
    7,152.48/9,870.84 = 5,380.92/x
  3. Step 3: Cross multiply
    7,152.48x = 9,870.84 × 5,380.92
  4. Step 4: Simplify right side
    7,152.48x = 53,114,200.37
  5. Step 5: Solve for x
    x = 53,114,200.37/7,152.48
  6. Step 6: Final answer
    x = 7,425.98

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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.