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Finding the Fourth Proportional to 10,388.80, 14,348.40 and 6,867.76

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Solution

The fourth proportional to 10,388.80, 14,348.40 and 6,867.76 is: 9,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.80 : 14,348.40 = 6,867.76 : x
  2. Step 2: Convert to fraction form
    10,388.80/14,348.40 = 6,867.76/x
  3. Step 3: Cross multiply
    10,388.80x = 14,348.40 × 6,867.76
  4. Step 4: Simplify right side
    10,388.80x = 98,541,367.58
  5. Step 5: Solve for x
    x = 98,541,367.58/10,388.80
  6. Step 6: Final answer
    x = 9,485.35

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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.