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Finding the Fourth Proportional to 10,034.68, 13,846.80 and 6,055.24

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Solution

The fourth proportional to 10,034.68, 13,846.80 and 6,055.24 is: 8,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.68 : 13,846.80 = 6,055.24 : x
  2. Step 2: Convert to fraction form
    10,034.68/13,846.80 = 6,055.24/x
  3. Step 3: Cross multiply
    10,034.68x = 13,846.80 × 6,055.24
  4. Step 4: Simplify right side
    10,034.68x = 83,845,697.23
  5. Step 5: Solve for x
    x = 83,845,697.23/10,034.68
  6. Step 6: Final answer
    x = 8,355.59

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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.