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Finding the Fourth Proportional to 10,142.98, 15,182.06 and 5,973.10

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Solution

The fourth proportional to 10,142.98, 15,182.06 and 5,973.10 is: 8,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.98 : 15,182.06 = 5,973.10 : x
  2. Step 2: Convert to fraction form
    10,142.98/15,182.06 = 5,973.10/x
  3. Step 3: Cross multiply
    10,142.98x = 15,182.06 × 5,973.10
  4. Step 4: Simplify right side
    10,142.98x = 90,683,962.59
  5. Step 5: Solve for x
    x = 90,683,962.59/10,142.98
  6. Step 6: Final answer
    x = 8,940.56

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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.