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Finding the Fourth Proportional to 10,302.62, 14,218.40 and 5,826.46

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Solution

The fourth proportional to 10,302.62, 14,218.40 and 5,826.46 is: 8,040.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.62 : 14,218.40 = 5,826.46 : x
  2. Step 2: Convert to fraction form
    10,302.62/14,218.40 = 5,826.46/x
  3. Step 3: Cross multiply
    10,302.62x = 14,218.40 × 5,826.46
  4. Step 4: Simplify right side
    10,302.62x = 82,842,938.86
  5. Step 5: Solve for x
    x = 82,842,938.86/10,302.62
  6. Step 6: Final answer
    x = 8,040.96

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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.