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Finding the Fourth Proportional to 8,915.32, 12,309.06 and 8,357.77

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Solution

The fourth proportional to 8,915.32, 12,309.06 and 8,357.77 is: 11,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,915.32 : 12,309.06 = 8,357.77 : x
  2. Step 2: Convert to fraction form
    8,915.32/12,309.06 = 8,357.77/x
  3. Step 3: Cross multiply
    8,915.32x = 12,309.06 × 8,357.77
  4. Step 4: Simplify right side
    8,915.32x = 102,876,292.40
  5. Step 5: Solve for x
    x = 102,876,292.40/8,915.32
  6. Step 6: Final answer
    x = 11,539.27

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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.