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Finding the Fourth Proportional to 11,075.78, 15,283.10 and 7,102.29

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Solution

The fourth proportional to 11,075.78, 15,283.10 and 7,102.29 is: 9,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.78 : 15,283.10 = 7,102.29 : x
  2. Step 2: Convert to fraction form
    11,075.78/15,283.10 = 7,102.29/x
  3. Step 3: Cross multiply
    11,075.78x = 15,283.10 × 7,102.29
  4. Step 4: Simplify right side
    11,075.78x = 108,544,972.79
  5. Step 5: Solve for x
    x = 108,544,972.79/11,075.78
  6. Step 6: Final answer
    x = 9,800.21

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