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Finding the Fourth Proportional to 10,494.45, 14,482.35 and 5,778.73

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Solution

The fourth proportional to 10,494.45, 14,482.35 and 5,778.73 is: 7,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.45 : 14,482.35 = 5,778.73 : x
  2. Step 2: Convert to fraction form
    10,494.45/14,482.35 = 5,778.73/x
  3. Step 3: Cross multiply
    10,494.45x = 14,482.35 × 5,778.73
  4. Step 4: Simplify right side
    10,494.45x = 83,689,590.42
  5. Step 5: Solve for x
    x = 83,689,590.42/10,494.45
  6. Step 6: Final answer
    x = 7,974.65

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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.