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Finding the Fourth Proportional to 10,257.30, 14,155.07 and 5,541.58

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Solution

The fourth proportional to 10,257.30, 14,155.07 and 5,541.58 is: 7,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.30 : 14,155.07 = 5,541.58 : x
  2. Step 2: Convert to fraction form
    10,257.30/14,155.07 = 5,541.58/x
  3. Step 3: Cross multiply
    10,257.30x = 14,155.07 × 5,541.58
  4. Step 4: Simplify right side
    10,257.30x = 78,441,473.97
  5. Step 5: Solve for x
    x = 78,441,473.97/10,257.30
  6. Step 6: Final answer
    x = 7,647.38

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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.