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Finding the Fourth Proportional to 8,152.20, 11,252.16 and 7,598.16

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Solution

The fourth proportional to 8,152.20, 11,252.16 and 7,598.16 is: 10,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.20 : 11,252.16 = 7,598.16 : x
  2. Step 2: Convert to fraction form
    8,152.20/11,252.16 = 7,598.16/x
  3. Step 3: Cross multiply
    8,152.20x = 11,252.16 × 7,598.16
  4. Step 4: Simplify right side
    8,152.20x = 85,495,712.03
  5. Step 5: Solve for x
    x = 85,495,712.03/8,152.20
  6. Step 6: Final answer
    x = 10,487.44

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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.