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Finding the Fourth Proportional to 10,763.78, 14,855.36 and 6,048

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Solution

The fourth proportional to 10,763.78, 14,855.36 and 6,048 is: 8,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.78 : 14,855.36 = 6,048 : x
  2. Step 2: Convert to fraction form
    10,763.78/14,855.36 = 6,048/x
  3. Step 3: Cross multiply
    10,763.78x = 14,855.36 × 6,048
  4. Step 4: Simplify right side
    10,763.78x = 89,845,187.04
  5. Step 5: Solve for x
    x = 89,845,187.04/10,763.78
  6. Step 6: Final answer
    x = 8,347.00

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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.