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Finding the Fourth Proportional to 8,842.32, 13,237.74 and 5,133.24

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Solution

The fourth proportional to 8,842.32, 13,237.74 and 5,133.24 is: 7,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.32 : 13,237.74 = 5,133.24 : x
  2. Step 2: Convert to fraction form
    8,842.32/13,237.74 = 5,133.24/x
  3. Step 3: Cross multiply
    8,842.32x = 13,237.74 × 5,133.24
  4. Step 4: Simplify right side
    8,842.32x = 67,952,496.48
  5. Step 5: Solve for x
    x = 67,952,496.48/8,842.32
  6. Step 6: Final answer
    x = 7,684.92

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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.