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Finding the Fourth Proportional to 11,142.63, 15,376.74 and 6,107.16

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Solution

The fourth proportional to 11,142.63, 15,376.74 and 6,107.16 is: 8,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.63 : 15,376.74 = 6,107.16 : x
  2. Step 2: Convert to fraction form
    11,142.63/15,376.74 = 6,107.16/x
  3. Step 3: Cross multiply
    11,142.63x = 15,376.74 × 6,107.16
  4. Step 4: Simplify right side
    11,142.63x = 93,908,246.22
  5. Step 5: Solve for x
    x = 93,908,246.22/11,142.63
  6. Step 6: Final answer
    x = 8,427.83

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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.