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Finding the Fourth Proportional to 7,801.06, 10,766.20 and 4,444.96

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Solution

The fourth proportional to 7,801.06, 10,766.20 and 4,444.96 is: 6,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.06 : 10,766.20 = 4,444.96 : x
  2. Step 2: Convert to fraction form
    7,801.06/10,766.20 = 4,444.96/x
  3. Step 3: Cross multiply
    7,801.06x = 10,766.20 × 4,444.96
  4. Step 4: Simplify right side
    7,801.06x = 47,855,274.52
  5. Step 5: Solve for x
    x = 47,855,274.52/7,801.06
  6. Step 6: Final answer
    x = 6,134.46

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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.