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Finding the Fourth Proportional to 8,883.56, 12,257.88 and 5,106

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Solution

The fourth proportional to 8,883.56, 12,257.88 and 5,106 is: 7,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,883.56 : 12,257.88 = 5,106 : x
  2. Step 2: Convert to fraction form
    8,883.56/12,257.88 = 5,106/x
  3. Step 3: Cross multiply
    8,883.56x = 12,257.88 × 5,106
  4. Step 4: Simplify right side
    8,883.56x = 62,588,735.28
  5. Step 5: Solve for x
    x = 62,588,735.28/8,883.56
  6. Step 6: Final answer
    x = 7,045.46

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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.