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Finding the Fourth Proportional to 10,497.22, 15,739.04 and 5,569.18

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Solution

The fourth proportional to 10,497.22, 15,739.04 and 5,569.18 is: 8,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.22 : 15,739.04 = 5,569.18 : x
  2. Step 2: Convert to fraction form
    10,497.22/15,739.04 = 5,569.18/x
  3. Step 3: Cross multiply
    10,497.22x = 15,739.04 × 5,569.18
  4. Step 4: Simplify right side
    10,497.22x = 87,653,546.79
  5. Step 5: Solve for x
    x = 87,653,546.79/10,497.22
  6. Step 6: Final answer
    x = 8,350.17

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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.