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Finding the Fourth Proportional to 7,477.16, 10,311.84 and 5,902.52

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Solution

The fourth proportional to 7,477.16, 10,311.84 and 5,902.52 is: 8,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.16 : 10,311.84 = 5,902.52 : x
  2. Step 2: Convert to fraction form
    7,477.16/10,311.84 = 5,902.52/x
  3. Step 3: Cross multiply
    7,477.16x = 10,311.84 × 5,902.52
  4. Step 4: Simplify right side
    7,477.16x = 60,865,841.84
  5. Step 5: Solve for x
    x = 60,865,841.84/7,477.16
  6. Step 6: Final answer
    x = 8,140.24

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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.