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Finding the Fourth Proportional to 12,415.10, 17,127.75 and 7,937.66

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Solution

The fourth proportional to 12,415.10, 17,127.75 and 7,937.66 is: 10,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.10 : 17,127.75 = 7,937.66 : x
  2. Step 2: Convert to fraction form
    12,415.10/17,127.75 = 7,937.66/x
  3. Step 3: Cross multiply
    12,415.10x = 17,127.75 × 7,937.66
  4. Step 4: Simplify right side
    12,415.10x = 135,954,256.07
  5. Step 5: Solve for x
    x = 135,954,256.07/12,415.10
  6. Step 6: Final answer
    x = 10,950.72

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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.