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Finding the Fourth Proportional to 11,402.17, 15,722.30 and 9,807.08

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Solution

The fourth proportional to 11,402.17, 15,722.30 and 9,807.08 is: 13,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.17 : 15,722.30 = 9,807.08 : x
  2. Step 2: Convert to fraction form
    11,402.17/15,722.30 = 9,807.08/x
  3. Step 3: Cross multiply
    11,402.17x = 15,722.30 × 9,807.08
  4. Step 4: Simplify right side
    11,402.17x = 154,189,799.79
  5. Step 5: Solve for x
    x = 154,189,799.79/11,402.17
  6. Step 6: Final answer
    x = 13,522.85

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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.