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Finding the Fourth Proportional to 10,133.47, 13,983.81 and 6,358.66

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Solution

The fourth proportional to 10,133.47, 13,983.81 and 6,358.66 is: 8,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.47 : 13,983.81 = 6,358.66 : x
  2. Step 2: Convert to fraction form
    10,133.47/13,983.81 = 6,358.66/x
  3. Step 3: Cross multiply
    10,133.47x = 13,983.81 × 6,358.66
  4. Step 4: Simplify right side
    10,133.47x = 88,918,293.29
  5. Step 5: Solve for x
    x = 88,918,293.29/10,133.47
  6. Step 6: Final answer
    x = 8,774.71

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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.