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Finding the Fourth Proportional to 12,397.12, 17,108.16 and 6,808

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Solution

The fourth proportional to 12,397.12, 17,108.16 and 6,808 is: 9,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.12 : 17,108.16 = 6,808 : x
  2. Step 2: Convert to fraction form
    12,397.12/17,108.16 = 6,808/x
  3. Step 3: Cross multiply
    12,397.12x = 17,108.16 × 6,808
  4. Step 4: Simplify right side
    12,397.12x = 116,472,353.28
  5. Step 5: Solve for x
    x = 116,472,353.28/12,397.12
  6. Step 6: Final answer
    x = 9,395.11

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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.