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Finding the Fourth Proportional to 10,295.33, 15,464.39 and 8,323.19

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Solution

The fourth proportional to 10,295.33, 15,464.39 and 8,323.19 is: 12,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.33 : 15,464.39 = 8,323.19 : x
  2. Step 2: Convert to fraction form
    10,295.33/15,464.39 = 8,323.19/x
  3. Step 3: Cross multiply
    10,295.33x = 15,464.39 × 8,323.19
  4. Step 4: Simplify right side
    10,295.33x = 128,712,937.27
  5. Step 5: Solve for x
    x = 128,712,937.27/10,295.33
  6. Step 6: Final answer
    x = 12,502.08

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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.