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Finding the Fourth Proportional to 11,756.07, 17,610.81 and 7,077.30

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Solution

The fourth proportional to 11,756.07, 17,610.81 and 7,077.30 is: 10,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.07 : 17,610.81 = 7,077.30 : x
  2. Step 2: Convert to fraction form
    11,756.07/17,610.81 = 7,077.30/x
  3. Step 3: Cross multiply
    11,756.07x = 17,610.81 × 7,077.30
  4. Step 4: Simplify right side
    11,756.07x = 124,636,985.61
  5. Step 5: Solve for x
    x = 124,636,985.61/11,756.07
  6. Step 6: Final answer
    x = 10,601.93

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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.