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Finding the Fourth Proportional to 11,150.76, 15,358.47 and 8,309.02

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Solution

The fourth proportional to 11,150.76, 15,358.47 and 8,309.02 is: 11,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150.76 : 15,358.47 = 8,309.02 : x
  2. Step 2: Convert to fraction form
    11,150.76/15,358.47 = 8,309.02/x
  3. Step 3: Cross multiply
    11,150.76x = 15,358.47 × 8,309.02
  4. Step 4: Simplify right side
    11,150.76x = 127,613,834.40
  5. Step 5: Solve for x
    x = 127,613,834.40/11,150.76
  6. Step 6: Final answer
    x = 11,444.41

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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.