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Finding the Fourth Proportional to 7,716.03, 11,574 and 2,169.34

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Solution

The fourth proportional to 7,716.03, 11,574 and 2,169.34 is: 3,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.03 : 11,574 = 2,169.34 : x
  2. Step 2: Convert to fraction form
    7,716.03/11,574 = 2,169.34/x
  3. Step 3: Cross multiply
    7,716.03x = 11,574 × 2,169.34
  4. Step 4: Simplify right side
    7,716.03x = 25,107,941.16
  5. Step 5: Solve for x
    x = 25,107,941.16/7,716.03
  6. Step 6: Final answer
    x = 3,254.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.