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Finding the Fourth Proportional to 10,364.33, 14,302.31 and 5,648.45

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Solution

The fourth proportional to 10,364.33, 14,302.31 and 5,648.45 is: 7,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.33 : 14,302.31 = 5,648.45 : x
  2. Step 2: Convert to fraction form
    10,364.33/14,302.31 = 5,648.45/x
  3. Step 3: Cross multiply
    10,364.33x = 14,302.31 × 5,648.45
  4. Step 4: Simplify right side
    10,364.33x = 80,785,854.68
  5. Step 5: Solve for x
    x = 80,785,854.68/10,364.33
  6. Step 6: Final answer
    x = 7,794.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.