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Finding the Fourth Proportional to 10,542.62, 14,548.28 and 7,563.44

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Solution

The fourth proportional to 10,542.62, 14,548.28 and 7,563.44 is: 10,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.62 : 14,548.28 = 7,563.44 : x
  2. Step 2: Convert to fraction form
    10,542.62/14,548.28 = 7,563.44/x
  3. Step 3: Cross multiply
    10,542.62x = 14,548.28 × 7,563.44
  4. Step 4: Simplify right side
    10,542.62x = 110,035,041.44
  5. Step 5: Solve for x
    x = 110,035,041.44/10,542.62
  6. Step 6: Final answer
    x = 10,437.16

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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.