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Finding the Fourth Proportional to 7,767.63, 11,642.33 and 4,071.60

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Solution

The fourth proportional to 7,767.63, 11,642.33 and 4,071.60 is: 6,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.63 : 11,642.33 = 4,071.60 : x
  2. Step 2: Convert to fraction form
    7,767.63/11,642.33 = 4,071.60/x
  3. Step 3: Cross multiply
    7,767.63x = 11,642.33 × 4,071.60
  4. Step 4: Simplify right side
    7,767.63x = 47,402,910.83
  5. Step 5: Solve for x
    x = 47,402,910.83/7,767.63
  6. Step 6: Final answer
    x = 6,102.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.