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Finding the Fourth Proportional to 8,538.90, 11,783.66 and 5,001.40

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Solution

The fourth proportional to 8,538.90, 11,783.66 and 5,001.40 is: 6,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.90 : 11,783.66 = 5,001.40 : x
  2. Step 2: Convert to fraction form
    8,538.90/11,783.66 = 5,001.40/x
  3. Step 3: Cross multiply
    8,538.90x = 11,783.66 × 5,001.40
  4. Step 4: Simplify right side
    8,538.90x = 58,934,797.12
  5. Step 5: Solve for x
    x = 58,934,797.12/8,538.90
  6. Step 6: Final answer
    x = 6,901.92

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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.