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Finding the Fourth Proportional to 11,211.67, 15,465.63 and 7,012.63

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Solution

The fourth proportional to 11,211.67, 15,465.63 and 7,012.63 is: 9,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.67 : 15,465.63 = 7,012.63 : x
  2. Step 2: Convert to fraction form
    11,211.67/15,465.63 = 7,012.63/x
  3. Step 3: Cross multiply
    11,211.67x = 15,465.63 × 7,012.63
  4. Step 4: Simplify right side
    11,211.67x = 108,454,740.91
  5. Step 5: Solve for x
    x = 108,454,740.91/11,211.67
  6. Step 6: Final answer
    x = 9,673.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.