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Finding the Fourth Proportional to 7,110, 9,811.80 and 3,966.19

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Solution

The fourth proportional to 7,110, 9,811.80 and 3,966.19 is: 5,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110 : 9,811.80 = 3,966.19 : x
  2. Step 2: Convert to fraction form
    7,110/9,811.80 = 3,966.19/x
  3. Step 3: Cross multiply
    7,110x = 9,811.80 × 3,966.19
  4. Step 4: Simplify right side
    7,110x = 38,915,438.51
  5. Step 5: Solve for x
    x = 38,915,438.51/7,110
  6. Step 6: Final answer
    x = 5,473.34

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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.