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Finding the Fourth Proportional to 10,281.28, 15,416.64 and 3,259

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Solution

The fourth proportional to 10,281.28, 15,416.64 and 3,259 is: 4,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.28 : 15,416.64 = 3,259 : x
  2. Step 2: Convert to fraction form
    10,281.28/15,416.64 = 3,259/x
  3. Step 3: Cross multiply
    10,281.28x = 15,416.64 × 3,259
  4. Step 4: Simplify right side
    10,281.28x = 50,242,829.76
  5. Step 5: Solve for x
    x = 50,242,829.76/10,281.28
  6. Step 6: Final answer
    x = 4,886.83

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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.