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Finding the Fourth Proportional to 7,404.84, 10,209.39 and 5,806.53

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Solution

The fourth proportional to 7,404.84, 10,209.39 and 5,806.53 is: 8,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.84 : 10,209.39 = 5,806.53 : x
  2. Step 2: Convert to fraction form
    7,404.84/10,209.39 = 5,806.53/x
  3. Step 3: Cross multiply
    7,404.84x = 10,209.39 × 5,806.53
  4. Step 4: Simplify right side
    7,404.84x = 59,281,129.32
  5. Step 5: Solve for x
    x = 59,281,129.32/7,404.84
  6. Step 6: Final answer
    x = 8,005.73

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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.