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Finding the Fourth Proportional to 8,417.80, 11,616.04 and 4,640.76

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Solution

The fourth proportional to 8,417.80, 11,616.04 and 4,640.76 is: 6,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.80 : 11,616.04 = 4,640.76 : x
  2. Step 2: Convert to fraction form
    8,417.80/11,616.04 = 4,640.76/x
  3. Step 3: Cross multiply
    8,417.80x = 11,616.04 × 4,640.76
  4. Step 4: Simplify right side
    8,417.80x = 53,907,253.79
  5. Step 5: Solve for x
    x = 53,907,253.79/8,417.80
  6. Step 6: Final answer
    x = 6,403.96

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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.