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Finding the Fourth Proportional to 11,681.74, 17,534.76 and 6,760.99

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Solution

The fourth proportional to 11,681.74, 17,534.76 and 6,760.99 is: 10,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.74 : 17,534.76 = 6,760.99 : x
  2. Step 2: Convert to fraction form
    11,681.74/17,534.76 = 6,760.99/x
  3. Step 3: Cross multiply
    11,681.74x = 17,534.76 × 6,760.99
  4. Step 4: Simplify right side
    11,681.74x = 118,552,337.01
  5. Step 5: Solve for x
    x = 118,552,337.01/11,681.74
  6. Step 6: Final answer
    x = 10,148.52

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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.