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Finding the Fourth Proportional to 11,031.70, 16,545.12 and 7,071.07

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Solution

The fourth proportional to 11,031.70, 16,545.12 and 7,071.07 is: 10,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.70 : 16,545.12 = 7,071.07 : x
  2. Step 2: Convert to fraction form
    11,031.70/16,545.12 = 7,071.07/x
  3. Step 3: Cross multiply
    11,031.70x = 16,545.12 × 7,071.07
  4. Step 4: Simplify right side
    11,031.70x = 116,991,701.68
  5. Step 5: Solve for x
    x = 116,991,701.68/11,031.70
  6. Step 6: Final answer
    x = 10,605.05

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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.