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Finding the Fourth Proportional to 6,547.15, 9,821.55 and 2,105.11

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Solution

The fourth proportional to 6,547.15, 9,821.55 and 2,105.11 is: 3,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.15 : 9,821.55 = 2,105.11 : x
  2. Step 2: Convert to fraction form
    6,547.15/9,821.55 = 2,105.11/x
  3. Step 3: Cross multiply
    6,547.15x = 9,821.55 × 2,105.11
  4. Step 4: Simplify right side
    6,547.15x = 20,675,443.12
  5. Step 5: Solve for x
    x = 20,675,443.12/6,547.15
  6. Step 6: Final answer
    x = 3,157.93

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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.