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Finding the Fourth Proportional to 10,856.60, 16,281.70 and 4,280.60

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Solution

The fourth proportional to 10,856.60, 16,281.70 and 4,280.60 is: 6,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.60 : 16,281.70 = 4,280.60 : x
  2. Step 2: Convert to fraction form
    10,856.60/16,281.70 = 4,280.60/x
  3. Step 3: Cross multiply
    10,856.60x = 16,281.70 × 4,280.60
  4. Step 4: Simplify right side
    10,856.60x = 69,695,445.02
  5. Step 5: Solve for x
    x = 69,695,445.02/10,856.60
  6. Step 6: Final answer
    x = 6,419.64

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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.