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Finding the Fourth Proportional to 11,110, 15,331.96 and 6,142

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Solution

The fourth proportional to 11,110, 15,331.96 and 6,142 is: 8,476.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,110 : 15,331.96 = 6,142 : x
  2. Step 2: Convert to fraction form
    11,110/15,331.96 = 6,142/x
  3. Step 3: Cross multiply
    11,110x = 15,331.96 × 6,142
  4. Step 4: Simplify right side
    11,110x = 94,168,898.32
  5. Step 5: Solve for x
    x = 94,168,898.32/11,110
  6. Step 6: Final answer
    x = 8,476.05

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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.