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Finding the Fourth Proportional to 10,077.35, 13,906.15 and 5,600.95

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Solution

The fourth proportional to 10,077.35, 13,906.15 and 5,600.95 is: 7,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.35 : 13,906.15 = 5,600.95 : x
  2. Step 2: Convert to fraction form
    10,077.35/13,906.15 = 5,600.95/x
  3. Step 3: Cross multiply
    10,077.35x = 13,906.15 × 5,600.95
  4. Step 4: Simplify right side
    10,077.35x = 77,887,602.07
  5. Step 5: Solve for x
    x = 77,887,602.07/10,077.35
  6. Step 6: Final answer
    x = 7,728.98

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