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Finding the Fourth Proportional to 8,865.34, 12,232.72 and 5,681.46

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Solution

The fourth proportional to 8,865.34, 12,232.72 and 5,681.46 is: 7,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.34 : 12,232.72 = 5,681.46 : x
  2. Step 2: Convert to fraction form
    8,865.34/12,232.72 = 5,681.46/x
  3. Step 3: Cross multiply
    8,865.34x = 12,232.72 × 5,681.46
  4. Step 4: Simplify right side
    8,865.34x = 69,499,709.37
  5. Step 5: Solve for x
    x = 69,499,709.37/8,865.34
  6. Step 6: Final answer
    x = 7,839.49

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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.