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Finding the Fourth Proportional to 10,414.76, 15,624.45 and 3,019.52

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Solution

The fourth proportional to 10,414.76, 15,624.45 and 3,019.52 is: 4,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.76 : 15,624.45 = 3,019.52 : x
  2. Step 2: Convert to fraction form
    10,414.76/15,624.45 = 3,019.52/x
  3. Step 3: Cross multiply
    10,414.76x = 15,624.45 × 3,019.52
  4. Step 4: Simplify right side
    10,414.76x = 47,178,339.26
  5. Step 5: Solve for x
    x = 47,178,339.26/10,414.76
  6. Step 6: Final answer
    x = 4,529.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.