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Finding the Fourth Proportional to 10,076.22, 13,905 and 5,599.89

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Solution

The fourth proportional to 10,076.22, 13,905 and 5,599.89 is: 7,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.22 : 13,905 = 5,599.89 : x
  2. Step 2: Convert to fraction form
    10,076.22/13,905 = 5,599.89/x
  3. Step 3: Cross multiply
    10,076.22x = 13,905 × 5,599.89
  4. Step 4: Simplify right side
    10,076.22x = 77,866,470.45
  5. Step 5: Solve for x
    x = 77,866,470.45/10,076.22
  6. Step 6: Final answer
    x = 7,727.75

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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.