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Finding the Fourth Proportional to 10,725.95, 14,801.79 and 6,534.20

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Solution

The fourth proportional to 10,725.95, 14,801.79 and 6,534.20 is: 9,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.95 : 14,801.79 = 6,534.20 : x
  2. Step 2: Convert to fraction form
    10,725.95/14,801.79 = 6,534.20/x
  3. Step 3: Cross multiply
    10,725.95x = 14,801.79 × 6,534.20
  4. Step 4: Simplify right side
    10,725.95x = 96,717,749.54
  5. Step 5: Solve for x
    x = 96,717,749.54/10,725.95
  6. Step 6: Final answer
    x = 9,017.18

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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.