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Finding the Fourth Proportional to 8,225.64, 11,350.69 and 4,640.40

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Solution

The fourth proportional to 8,225.64, 11,350.69 and 4,640.40 is: 6,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.64 : 11,350.69 = 4,640.40 : x
  2. Step 2: Convert to fraction form
    8,225.64/11,350.69 = 4,640.40/x
  3. Step 3: Cross multiply
    8,225.64x = 11,350.69 × 4,640.40
  4. Step 4: Simplify right side
    8,225.64x = 52,671,718.67
  5. Step 5: Solve for x
    x = 52,671,718.67/8,225.64
  6. Step 6: Final answer
    x = 6,403.36

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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.