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Finding the Fourth Proportional to 10,200.53, 15,288.95 and 6,861.71

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Solution

The fourth proportional to 10,200.53, 15,288.95 and 6,861.71 is: 10,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.53 : 15,288.95 = 6,861.71 : x
  2. Step 2: Convert to fraction form
    10,200.53/15,288.95 = 6,861.71/x
  3. Step 3: Cross multiply
    10,200.53x = 15,288.95 × 6,861.71
  4. Step 4: Simplify right side
    10,200.53x = 104,908,396.48
  5. Step 5: Solve for x
    x = 104,908,396.48/10,200.53
  6. Step 6: Final answer
    x = 10,284.60

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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.