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Finding the Fourth Proportional to 10,034.96, 13,848.96 and 6,055.86

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Solution

The fourth proportional to 10,034.96, 13,848.96 and 6,055.86 is: 8,357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.96 : 13,848.96 = 6,055.86 : x
  2. Step 2: Convert to fraction form
    10,034.96/13,848.96 = 6,055.86/x
  3. Step 3: Cross multiply
    10,034.96x = 13,848.96 × 6,055.86
  4. Step 4: Simplify right side
    10,034.96x = 83,867,362.91
  5. Step 5: Solve for x
    x = 83,867,362.91/10,034.96
  6. Step 6: Final answer
    x = 8,357.52

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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.