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Finding the Fourth Proportional to 7,762.31, 10,711.66 and 4,405.05

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Solution

The fourth proportional to 7,762.31, 10,711.66 and 4,405.05 is: 6,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.31 : 10,711.66 = 4,405.05 : x
  2. Step 2: Convert to fraction form
    7,762.31/10,711.66 = 4,405.05/x
  3. Step 3: Cross multiply
    7,762.31x = 10,711.66 × 4,405.05
  4. Step 4: Simplify right side
    7,762.31x = 47,185,397.88
  5. Step 5: Solve for x
    x = 47,185,397.88/7,762.31
  6. Step 6: Final answer
    x = 6,078.78

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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.