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Finding the Fourth Proportional to 11,111.68, 15,334.12 and 6,143.68

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Solution

The fourth proportional to 11,111.68, 15,334.12 and 6,143.68 is: 8,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.68 : 15,334.12 = 6,143.68 : x
  2. Step 2: Convert to fraction form
    11,111.68/15,334.12 = 6,143.68/x
  3. Step 3: Cross multiply
    11,111.68x = 15,334.12 × 6,143.68
  4. Step 4: Simplify right side
    11,111.68x = 94,207,926.36
  5. Step 5: Solve for x
    x = 94,207,926.36/11,111.68
  6. Step 6: Final answer
    x = 8,478.28

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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.