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Finding the Fourth Proportional to 10,405.59, 15,599.83 and 4,856.19

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Solution

The fourth proportional to 10,405.59, 15,599.83 and 4,856.19 is: 7,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.59 : 15,599.83 = 4,856.19 : x
  2. Step 2: Convert to fraction form
    10,405.59/15,599.83 = 4,856.19/x
  3. Step 3: Cross multiply
    10,405.59x = 15,599.83 × 4,856.19
  4. Step 4: Simplify right side
    10,405.59x = 75,755,636.17
  5. Step 5: Solve for x
    x = 75,755,636.17/10,405.59
  6. Step 6: Final answer
    x = 7,280.29

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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.