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Finding the Fourth Proportional to 11,437.25, 17,142.21 and 6,500.10

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Solution

The fourth proportional to 11,437.25, 17,142.21 and 6,500.10 is: 9,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.25 : 17,142.21 = 6,500.10 : x
  2. Step 2: Convert to fraction form
    11,437.25/17,142.21 = 6,500.10/x
  3. Step 3: Cross multiply
    11,437.25x = 17,142.21 × 6,500.10
  4. Step 4: Simplify right side
    11,437.25x = 111,426,079.22
  5. Step 5: Solve for x
    x = 111,426,079.22/11,437.25
  6. Step 6: Final answer
    x = 9,742.38

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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.