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Finding the Fourth Proportional to 10,034.94, 13,848.74 and 5,559.18

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Solution

The fourth proportional to 10,034.94, 13,848.74 and 5,559.18 is: 7,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.94 : 13,848.74 = 5,559.18 : x
  2. Step 2: Convert to fraction form
    10,034.94/13,848.74 = 5,559.18/x
  3. Step 3: Cross multiply
    10,034.94x = 13,848.74 × 5,559.18
  4. Step 4: Simplify right side
    10,034.94x = 76,987,610.64
  5. Step 5: Solve for x
    x = 76,987,610.64/10,034.94
  6. Step 6: Final answer
    x = 7,671.96

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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.