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Finding the Fourth Proportional to 7,762.25, 10,712.84 and 4,406.11

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Solution

The fourth proportional to 7,762.25, 10,712.84 and 4,406.11 is: 6,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.25 : 10,712.84 = 4,406.11 : x
  2. Step 2: Convert to fraction form
    7,762.25/10,712.84 = 4,406.11/x
  3. Step 3: Cross multiply
    7,762.25x = 10,712.84 × 4,406.11
  4. Step 4: Simplify right side
    7,762.25x = 47,201,935.69
  5. Step 5: Solve for x
    x = 47,201,935.69/7,762.25
  6. Step 6: Final answer
    x = 6,080.96

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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.