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Finding the Fourth Proportional to 11,421.84, 15,761.88 and 6,706.56

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Solution

The fourth proportional to 11,421.84, 15,761.88 and 6,706.56 is: 9,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.84 : 15,761.88 = 6,706.56 : x
  2. Step 2: Convert to fraction form
    11,421.84/15,761.88 = 6,706.56/x
  3. Step 3: Cross multiply
    11,421.84x = 15,761.88 × 6,706.56
  4. Step 4: Simplify right side
    11,421.84x = 105,707,993.93
  5. Step 5: Solve for x
    x = 105,707,993.93/11,421.84
  6. Step 6: Final answer
    x = 9,254.90

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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.