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Finding the Fourth Proportional to 8,154.62, 12,233.47 and 4,648.59

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Solution

The fourth proportional to 8,154.62, 12,233.47 and 4,648.59 is: 6,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.62 : 12,233.47 = 4,648.59 : x
  2. Step 2: Convert to fraction form
    8,154.62/12,233.47 = 4,648.59/x
  3. Step 3: Cross multiply
    8,154.62x = 12,233.47 × 4,648.59
  4. Step 4: Simplify right side
    8,154.62x = 56,868,369.18
  5. Step 5: Solve for x
    x = 56,868,369.18/8,154.62
  6. Step 6: Final answer
    x = 6,973.76

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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.