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Finding the Fourth Proportional to 7,075.76, 10,614.17 and 1,881.50

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Solution

The fourth proportional to 7,075.76, 10,614.17 and 1,881.50 is: 2,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.76 : 10,614.17 = 1,881.50 : x
  2. Step 2: Convert to fraction form
    7,075.76/10,614.17 = 1,881.50/x
  3. Step 3: Cross multiply
    7,075.76x = 10,614.17 × 1,881.50
  4. Step 4: Simplify right side
    7,075.76x = 19,970,512.49
  5. Step 5: Solve for x
    x = 19,970,512.49/7,075.76
  6. Step 6: Final answer
    x = 2,822.39

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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.