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Finding the Fourth Proportional to 6,833.56, 10,239.90 and 3,547.72

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Solution

The fourth proportional to 6,833.56, 10,239.90 and 3,547.72 is: 5,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.56 : 10,239.90 = 3,547.72 : x
  2. Step 2: Convert to fraction form
    6,833.56/10,239.90 = 3,547.72/x
  3. Step 3: Cross multiply
    6,833.56x = 10,239.90 × 3,547.72
  4. Step 4: Simplify right side
    6,833.56x = 36,328,298.03
  5. Step 5: Solve for x
    x = 36,328,298.03/6,833.56
  6. Step 6: Final answer
    x = 5,316.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.