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Finding the Fourth Proportional to 7,676.56, 10,587.12 and 6,184

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Solution

The fourth proportional to 7,676.56, 10,587.12 and 6,184 is: 8,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.56 : 10,587.12 = 6,184 : x
  2. Step 2: Convert to fraction form
    7,676.56/10,587.12 = 6,184/x
  3. Step 3: Cross multiply
    7,676.56x = 10,587.12 × 6,184
  4. Step 4: Simplify right side
    7,676.56x = 65,470,750.08
  5. Step 5: Solve for x
    x = 65,470,750.08/7,676.56
  6. Step 6: Final answer
    x = 8,528.66

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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.