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Finding the Fourth Proportional to 11,398.16, 17,105.04 and 7,002.24

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Solution

The fourth proportional to 11,398.16, 17,105.04 and 7,002.24 is: 10,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.16 : 17,105.04 = 7,002.24 : x
  2. Step 2: Convert to fraction form
    11,398.16/17,105.04 = 7,002.24/x
  3. Step 3: Cross multiply
    11,398.16x = 17,105.04 × 7,002.24
  4. Step 4: Simplify right side
    11,398.16x = 119,773,595.29
  5. Step 5: Solve for x
    x = 119,773,595.29/11,398.16
  6. Step 6: Final answer
    x = 10,508.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.