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Finding the Fourth Proportional to 10,023.30, 13,832.06 and 5,547.02

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Solution

The fourth proportional to 10,023.30, 13,832.06 and 5,547.02 is: 7,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.30 : 13,832.06 = 5,547.02 : x
  2. Step 2: Convert to fraction form
    10,023.30/13,832.06 = 5,547.02/x
  3. Step 3: Cross multiply
    10,023.30x = 13,832.06 × 5,547.02
  4. Step 4: Simplify right side
    10,023.30x = 76,726,616.57
  5. Step 5: Solve for x
    x = 76,726,616.57/10,023.30
  6. Step 6: Final answer
    x = 7,654.83

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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.