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Finding the Fourth Proportional to 7,334.61, 11,001.80 and 1,787.97

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Solution

The fourth proportional to 7,334.61, 11,001.80 and 1,787.97 is: 2,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.61 : 11,001.80 = 1,787.97 : x
  2. Step 2: Convert to fraction form
    7,334.61/11,001.80 = 1,787.97/x
  3. Step 3: Cross multiply
    7,334.61x = 11,001.80 × 1,787.97
  4. Step 4: Simplify right side
    7,334.61x = 19,670,879.41
  5. Step 5: Solve for x
    x = 19,670,879.41/7,334.61
  6. Step 6: Final answer
    x = 2,681.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.