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Finding the Fourth Proportional to 8,905.80, 13,347.76 and 5,002

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Solution

The fourth proportional to 8,905.80, 13,347.76 and 5,002 is: 7,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905.80 : 13,347.76 = 5,002 : x
  2. Step 2: Convert to fraction form
    8,905.80/13,347.76 = 5,002/x
  3. Step 3: Cross multiply
    8,905.80x = 13,347.76 × 5,002
  4. Step 4: Simplify right side
    8,905.80x = 66,765,495.52
  5. Step 5: Solve for x
    x = 66,765,495.52/8,905.80
  6. Step 6: Final answer
    x = 7,496.86

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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.