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Finding the Fourth Proportional to 10,348.85, 14,281.02 and 5,872.34

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Solution

The fourth proportional to 10,348.85, 14,281.02 and 5,872.34 is: 8,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.85 : 14,281.02 = 5,872.34 : x
  2. Step 2: Convert to fraction form
    10,348.85/14,281.02 = 5,872.34/x
  3. Step 3: Cross multiply
    10,348.85x = 14,281.02 × 5,872.34
  4. Step 4: Simplify right side
    10,348.85x = 83,862,904.22
  5. Step 5: Solve for x
    x = 83,862,904.22/10,348.85
  6. Step 6: Final answer
    x = 8,103.60

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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.