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Finding the Fourth Proportional to 10,246.39, 15,358.62 and 7,315.81

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Solution

The fourth proportional to 10,246.39, 15,358.62 and 7,315.81 is: 10,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.39 : 15,358.62 = 7,315.81 : x
  2. Step 2: Convert to fraction form
    10,246.39/15,358.62 = 7,315.81/x
  3. Step 3: Cross multiply
    10,246.39x = 15,358.62 × 7,315.81
  4. Step 4: Simplify right side
    10,246.39x = 112,360,745.78
  5. Step 5: Solve for x
    x = 112,360,745.78/10,246.39
  6. Step 6: Final answer
    x = 10,965.89

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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.