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Finding the Fourth Proportional to 11,762.42, 17,661.14 and 4,756.11

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Solution

The fourth proportional to 11,762.42, 17,661.14 and 4,756.11 is: 7,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.42 : 17,661.14 = 4,756.11 : x
  2. Step 2: Convert to fraction form
    11,762.42/17,661.14 = 4,756.11/x
  3. Step 3: Cross multiply
    11,762.42x = 17,661.14 × 4,756.11
  4. Step 4: Simplify right side
    11,762.42x = 83,998,300.78
  5. Step 5: Solve for x
    x = 83,998,300.78/11,762.42
  6. Step 6: Final answer
    x = 7,141.25

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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.