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Finding the Fourth Proportional to 7,838.18, 10,806.01 and 5,596.17

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Solution

The fourth proportional to 7,838.18, 10,806.01 and 5,596.17 is: 7,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.18 : 10,806.01 = 5,596.17 : x
  2. Step 2: Convert to fraction form
    7,838.18/10,806.01 = 5,596.17/x
  3. Step 3: Cross multiply
    7,838.18x = 10,806.01 × 5,596.17
  4. Step 4: Simplify right side
    7,838.18x = 60,472,245.95
  5. Step 5: Solve for x
    x = 60,472,245.95/7,838.18
  6. Step 6: Final answer
    x = 7,715.08

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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.