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Finding the Fourth Proportional to 10,881.41, 15,017.40 and 6,102.17

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Solution

The fourth proportional to 10,881.41, 15,017.40 and 6,102.17 is: 8,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.41 : 15,017.40 = 6,102.17 : x
  2. Step 2: Convert to fraction form
    10,881.41/15,017.40 = 6,102.17/x
  3. Step 3: Cross multiply
    10,881.41x = 15,017.40 × 6,102.17
  4. Step 4: Simplify right side
    10,881.41x = 91,638,652.67
  5. Step 5: Solve for x
    x = 91,638,652.67/10,881.41
  6. Step 6: Final answer
    x = 8,421.58

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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.