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Finding the Fourth Proportional to 10,706.72, 16,019.76 and 7,426.16

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Solution

The fourth proportional to 10,706.72, 16,019.76 and 7,426.16 is: 11,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.72 : 16,019.76 = 7,426.16 : x
  2. Step 2: Convert to fraction form
    10,706.72/16,019.76 = 7,426.16/x
  3. Step 3: Cross multiply
    10,706.72x = 16,019.76 × 7,426.16
  4. Step 4: Simplify right side
    10,706.72x = 118,965,300.92
  5. Step 5: Solve for x
    x = 118,965,300.92/10,706.72
  6. Step 6: Final answer
    x = 11,111.27

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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.