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Finding the Fourth Proportional to 10,406.08, 15,600.30 and 4,856.50

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Solution

The fourth proportional to 10,406.08, 15,600.30 and 4,856.50 is: 7,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.08 : 15,600.30 = 4,856.50 : x
  2. Step 2: Convert to fraction form
    10,406.08/15,600.30 = 4,856.50/x
  3. Step 3: Cross multiply
    10,406.08x = 15,600.30 × 4,856.50
  4. Step 4: Simplify right side
    10,406.08x = 75,762,856.95
  5. Step 5: Solve for x
    x = 75,762,856.95/10,406.08
  6. Step 6: Final answer
    x = 7,280.63

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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.