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Finding the Fourth Proportional to 8,306.32, 11,462.68 and 4,580.32

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Solution

The fourth proportional to 8,306.32, 11,462.68 and 4,580.32 is: 6,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.32 : 11,462.68 = 4,580.32 : x
  2. Step 2: Convert to fraction form
    8,306.32/11,462.68 = 4,580.32/x
  3. Step 3: Cross multiply
    8,306.32x = 11,462.68 × 4,580.32
  4. Step 4: Simplify right side
    8,306.32x = 52,502,742.46
  5. Step 5: Solve for x
    x = 52,502,742.46/8,306.32
  6. Step 6: Final answer
    x = 6,320.82

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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.