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Finding the Fourth Proportional to 11,358.32, 17,029.78 and 5,807.14

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Solution

The fourth proportional to 11,358.32, 17,029.78 and 5,807.14 is: 8,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.32 : 17,029.78 = 5,807.14 : x
  2. Step 2: Convert to fraction form
    11,358.32/17,029.78 = 5,807.14/x
  3. Step 3: Cross multiply
    11,358.32x = 17,029.78 × 5,807.14
  4. Step 4: Simplify right side
    11,358.32x = 98,894,259.54
  5. Step 5: Solve for x
    x = 98,894,259.54/11,358.32
  6. Step 6: Final answer
    x = 8,706.77

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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.