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Finding the Fourth Proportional to 8,291.61, 11,427.19 and 7,765.53

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Solution

The fourth proportional to 8,291.61, 11,427.19 and 7,765.53 is: 10,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.61 : 11,427.19 = 7,765.53 : x
  2. Step 2: Convert to fraction form
    8,291.61/11,427.19 = 7,765.53/x
  3. Step 3: Cross multiply
    8,291.61x = 11,427.19 × 7,765.53
  4. Step 4: Simplify right side
    8,291.61x = 88,738,167.35
  5. Step 5: Solve for x
    x = 88,738,167.35/8,291.61
  6. Step 6: Final answer
    x = 10,702.16

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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.