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Finding the Fourth Proportional to 10,726.93, 16,100.36 and 7,728.08

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Solution

The fourth proportional to 10,726.93, 16,100.36 and 7,728.08 is: 11,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.93 : 16,100.36 = 7,728.08 : x
  2. Step 2: Convert to fraction form
    10,726.93/16,100.36 = 7,728.08/x
  3. Step 3: Cross multiply
    10,726.93x = 16,100.36 × 7,728.08
  4. Step 4: Simplify right side
    10,726.93x = 124,424,779.95
  5. Step 5: Solve for x
    x = 124,424,779.95/10,726.93
  6. Step 6: Final answer
    x = 11,599.29

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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.