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Finding the Fourth Proportional to 10,307.60, 15,464.14 and 3,287.33

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Solution

The fourth proportional to 10,307.60, 15,464.14 and 3,287.33 is: 4,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.60 : 15,464.14 = 3,287.33 : x
  2. Step 2: Convert to fraction form
    10,307.60/15,464.14 = 3,287.33/x
  3. Step 3: Cross multiply
    10,307.60x = 15,464.14 × 3,287.33
  4. Step 4: Simplify right side
    10,307.60x = 50,835,800.03
  5. Step 5: Solve for x
    x = 50,835,800.03/10,307.60
  6. Step 6: Final answer
    x = 4,931.87

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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.