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Finding the Fourth Proportional to 8,215.83, 12,312.18 and 4,700.57

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Solution

The fourth proportional to 8,215.83, 12,312.18 and 4,700.57 is: 7,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.83 : 12,312.18 = 4,700.57 : x
  2. Step 2: Convert to fraction form
    8,215.83/12,312.18 = 4,700.57/x
  3. Step 3: Cross multiply
    8,215.83x = 12,312.18 × 4,700.57
  4. Step 4: Simplify right side
    8,215.83x = 57,874,202.38
  5. Step 5: Solve for x
    x = 57,874,202.38/8,215.83
  6. Step 6: Final answer
    x = 7,044.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.