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Finding the Fourth Proportional to 10,030.41, 13,837.68 and 6,049.26

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Solution

The fourth proportional to 10,030.41, 13,837.68 and 6,049.26 is: 8,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.41 : 13,837.68 = 6,049.26 : x
  2. Step 2: Convert to fraction form
    10,030.41/13,837.68 = 6,049.26/x
  3. Step 3: Cross multiply
    10,030.41x = 13,837.68 × 6,049.26
  4. Step 4: Simplify right side
    10,030.41x = 83,707,724.12
  5. Step 5: Solve for x
    x = 83,707,724.12/10,030.41
  6. Step 6: Final answer
    x = 8,345.39

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Why These Related Problems?

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