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Finding the Fourth Proportional to 7,676.25, 10,547.30 and 6,101.61

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Solution

The fourth proportional to 7,676.25, 10,547.30 and 6,101.61 is: 8,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.25 : 10,547.30 = 6,101.61 : x
  2. Step 2: Convert to fraction form
    7,676.25/10,547.30 = 6,101.61/x
  3. Step 3: Cross multiply
    7,676.25x = 10,547.30 × 6,101.61
  4. Step 4: Simplify right side
    7,676.25x = 64,355,511.15
  5. Step 5: Solve for x
    x = 64,355,511.15/7,676.25
  6. Step 6: Final answer
    x = 8,383.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.