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Finding the Fourth Proportional to 10,811.80, 14,921.76 and 6,337.36

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Solution

The fourth proportional to 10,811.80, 14,921.76 and 6,337.36 is: 8,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.80 : 14,921.76 = 6,337.36 : x
  2. Step 2: Convert to fraction form
    10,811.80/14,921.76 = 6,337.36/x
  3. Step 3: Cross multiply
    10,811.80x = 14,921.76 × 6,337.36
  4. Step 4: Simplify right side
    10,811.80x = 94,564,564.95
  5. Step 5: Solve for x
    x = 94,564,564.95/10,811.80
  6. Step 6: Final answer
    x = 8,746.42

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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.