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Finding the Fourth Proportional to 10,706.16, 16,061.49 and 3,686.81

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Solution

The fourth proportional to 10,706.16, 16,061.49 and 3,686.81 is: 5,530.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.16 : 16,061.49 = 3,686.81 : x
  2. Step 2: Convert to fraction form
    10,706.16/16,061.49 = 3,686.81/x
  3. Step 3: Cross multiply
    10,706.16x = 16,061.49 × 3,686.81
  4. Step 4: Simplify right side
    10,706.16x = 59,215,581.64
  5. Step 5: Solve for x
    x = 59,215,581.64/10,706.16
  6. Step 6: Final answer
    x = 5,530.98

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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.