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Finding the Fourth Proportional to 8,509.75, 11,743.48 and 4,733.16

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Solution

The fourth proportional to 8,509.75, 11,743.48 and 4,733.16 is: 6,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.75 : 11,743.48 = 4,733.16 : x
  2. Step 2: Convert to fraction form
    8,509.75/11,743.48 = 4,733.16/x
  3. Step 3: Cross multiply
    8,509.75x = 11,743.48 × 4,733.16
  4. Step 4: Simplify right side
    8,509.75x = 55,583,775.71
  5. Step 5: Solve for x
    x = 55,583,775.71/8,509.75
  6. Step 6: Final answer
    x = 6,531.77

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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.