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Finding the Fourth Proportional to 11,140.74, 15,376.50 and 6,424.38

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Solution

The fourth proportional to 11,140.74, 15,376.50 and 6,424.38 is: 8,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.74 : 15,376.50 = 6,424.38 : x
  2. Step 2: Convert to fraction form
    11,140.74/15,376.50 = 6,424.38/x
  3. Step 3: Cross multiply
    11,140.74x = 15,376.50 × 6,424.38
  4. Step 4: Simplify right side
    11,140.74x = 98,784,479.07
  5. Step 5: Solve for x
    x = 98,784,479.07/11,140.74
  6. Step 6: Final answer
    x = 8,866.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.