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Finding the Fourth Proportional to 8,244.83, 11,378.43 and 4,658.55

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Solution

The fourth proportional to 8,244.83, 11,378.43 and 4,658.55 is: 6,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.83 : 11,378.43 = 4,658.55 : x
  2. Step 2: Convert to fraction form
    8,244.83/11,378.43 = 4,658.55/x
  3. Step 3: Cross multiply
    8,244.83x = 11,378.43 × 4,658.55
  4. Step 4: Simplify right side
    8,244.83x = 53,006,985.08
  5. Step 5: Solve for x
    x = 53,006,985.08/8,244.83
  6. Step 6: Final answer
    x = 6,429.12

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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.