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Finding the Fourth Proportional to 10,534.88, 15,789.72 and 4,684.88

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Solution

The fourth proportional to 10,534.88, 15,789.72 and 4,684.88 is: 7,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.88 : 15,789.72 = 4,684.88 : x
  2. Step 2: Convert to fraction form
    10,534.88/15,789.72 = 4,684.88/x
  3. Step 3: Cross multiply
    10,534.88x = 15,789.72 × 4,684.88
  4. Step 4: Simplify right side
    10,534.88x = 73,972,943.43
  5. Step 5: Solve for x
    x = 73,972,943.43/10,534.88
  6. Step 6: Final answer
    x = 7,021.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.