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Finding the Fourth Proportional to 7,913.50, 10,920.82 and 5,123.86

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Solution

The fourth proportional to 7,913.50, 10,920.82 and 5,123.86 is: 7,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.50 : 10,920.82 = 5,123.86 : x
  2. Step 2: Convert to fraction form
    7,913.50/10,920.82 = 5,123.86/x
  3. Step 3: Cross multiply
    7,913.50x = 10,920.82 × 5,123.86
  4. Step 4: Simplify right side
    7,913.50x = 55,956,752.77
  5. Step 5: Solve for x
    x = 55,956,752.77/7,913.50
  6. Step 6: Final answer
    x = 7,071.05

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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.