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Finding the Fourth Proportional to 8,123.50, 11,210.16 and 4,538.66

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Solution

The fourth proportional to 8,123.50, 11,210.16 and 4,538.66 is: 6,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.50 : 11,210.16 = 4,538.66 : x
  2. Step 2: Convert to fraction form
    8,123.50/11,210.16 = 4,538.66/x
  3. Step 3: Cross multiply
    8,123.50x = 11,210.16 × 4,538.66
  4. Step 4: Simplify right side
    8,123.50x = 50,879,104.79
  5. Step 5: Solve for x
    x = 50,879,104.79/8,123.50
  6. Step 6: Final answer
    x = 6,263.20

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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.