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Finding the Fourth Proportional to 12,411.11, 17,126.88 and 7,102.17

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Solution

The fourth proportional to 12,411.11, 17,126.88 and 7,102.17 is: 9,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.11 : 17,126.88 = 7,102.17 : x
  2. Step 2: Convert to fraction form
    12,411.11/17,126.88 = 7,102.17/x
  3. Step 3: Cross multiply
    12,411.11x = 17,126.88 × 7,102.17
  4. Step 4: Simplify right side
    12,411.11x = 121,638,013.33
  5. Step 5: Solve for x
    x = 121,638,013.33/12,411.11
  6. Step 6: Final answer
    x = 9,800.74

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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.