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Finding the Fourth Proportional to 11,143.66, 15,378.16 and 6,107.87

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Solution

The fourth proportional to 11,143.66, 15,378.16 and 6,107.87 is: 8,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.66 : 15,378.16 = 6,107.87 : x
  2. Step 2: Convert to fraction form
    11,143.66/15,378.16 = 6,107.87/x
  3. Step 3: Cross multiply
    11,143.66x = 15,378.16 × 6,107.87
  4. Step 4: Simplify right side
    11,143.66x = 93,927,733.07
  5. Step 5: Solve for x
    x = 93,927,733.07/11,143.66
  6. Step 6: Final answer
    x = 8,428.81

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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.