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Finding the Fourth Proportional to 8,297.04, 12,384.84 and 7,312.92

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Solution

The fourth proportional to 8,297.04, 12,384.84 and 7,312.92 is: 10,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.04 : 12,384.84 = 7,312.92 : x
  2. Step 2: Convert to fraction form
    8,297.04/12,384.84 = 7,312.92/x
  3. Step 3: Cross multiply
    8,297.04x = 12,384.84 × 7,312.92
  4. Step 4: Simplify right side
    8,297.04x = 90,569,344.13
  5. Step 5: Solve for x
    x = 90,569,344.13/8,297.04
  6. Step 6: Final answer
    x = 10,915.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.