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Finding the Fourth Proportional to 11,176.76, 15,424.18 and 6,141.29

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Solution

The fourth proportional to 11,176.76, 15,424.18 and 6,141.29 is: 8,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.76 : 15,424.18 = 6,141.29 : x
  2. Step 2: Convert to fraction form
    11,176.76/15,424.18 = 6,141.29/x
  3. Step 3: Cross multiply
    11,176.76x = 15,424.18 × 6,141.29
  4. Step 4: Simplify right side
    11,176.76x = 94,724,362.39
  5. Step 5: Solve for x
    x = 94,724,362.39/11,176.76
  6. Step 6: Final answer
    x = 8,475.12

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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.