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Finding the Fourth Proportional to 10,015.84, 15,004.26 and 6,542.56

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Solution

The fourth proportional to 10,015.84, 15,004.26 and 6,542.56 is: 9,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.84 : 15,004.26 = 6,542.56 : x
  2. Step 2: Convert to fraction form
    10,015.84/15,004.26 = 6,542.56/x
  3. Step 3: Cross multiply
    10,015.84x = 15,004.26 × 6,542.56
  4. Step 4: Simplify right side
    10,015.84x = 98,166,271.31
  5. Step 5: Solve for x
    x = 98,166,271.31/10,015.84
  6. Step 6: Final answer
    x = 9,801.10

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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.