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Finding the Fourth Proportional to 8,216.16, 11,337.12 and 4,678.80

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Solution

The fourth proportional to 8,216.16, 11,337.12 and 4,678.80 is: 6,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.16 : 11,337.12 = 4,678.80 : x
  2. Step 2: Convert to fraction form
    8,216.16/11,337.12 = 4,678.80/x
  3. Step 3: Cross multiply
    8,216.16x = 11,337.12 × 4,678.80
  4. Step 4: Simplify right side
    8,216.16x = 53,044,117.06
  5. Step 5: Solve for x
    x = 53,044,117.06/8,216.16
  6. Step 6: Final answer
    x = 6,456.07

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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.