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Finding the Fourth Proportional to 10,058.52, 15,075 and 4,511.64

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Solution

The fourth proportional to 10,058.52, 15,075 and 4,511.64 is: 6,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.52 : 15,075 = 4,511.64 : x
  2. Step 2: Convert to fraction form
    10,058.52/15,075 = 4,511.64/x
  3. Step 3: Cross multiply
    10,058.52x = 15,075 × 4,511.64
  4. Step 4: Simplify right side
    10,058.52x = 68,012,973
  5. Step 5: Solve for x
    x = 68,012,973/10,058.52
  6. Step 6: Final answer
    x = 6,761.73

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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.