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Finding the Fourth Proportional to 8,915.76, 12,302.06 and 5,729.63

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Solution

The fourth proportional to 8,915.76, 12,302.06 and 5,729.63 is: 7,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,915.76 : 12,302.06 = 5,729.63 : x
  2. Step 2: Convert to fraction form
    8,915.76/12,302.06 = 5,729.63/x
  3. Step 3: Cross multiply
    8,915.76x = 12,302.06 × 5,729.63
  4. Step 4: Simplify right side
    8,915.76x = 70,486,161.88
  5. Step 5: Solve for x
    x = 70,486,161.88/8,915.76
  6. Step 6: Final answer
    x = 7,905.79

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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.