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Finding the Fourth Proportional to 10,075.78, 15,113.72 and 3,412.34

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Solution

The fourth proportional to 10,075.78, 15,113.72 and 3,412.34 is: 5,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.78 : 15,113.72 = 3,412.34 : x
  2. Step 2: Convert to fraction form
    10,075.78/15,113.72 = 3,412.34/x
  3. Step 3: Cross multiply
    10,075.78x = 15,113.72 × 3,412.34
  4. Step 4: Simplify right side
    10,075.78x = 51,573,151.30
  5. Step 5: Solve for x
    x = 51,573,151.30/10,075.78
  6. Step 6: Final answer
    x = 5,118.53

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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.