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Finding the Fourth Proportional to 8,574.90, 12,864.95 and 4,075.37

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Solution

The fourth proportional to 8,574.90, 12,864.95 and 4,075.37 is: 6,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.90 : 12,864.95 = 4,075.37 : x
  2. Step 2: Convert to fraction form
    8,574.90/12,864.95 = 4,075.37/x
  3. Step 3: Cross multiply
    8,574.90x = 12,864.95 × 4,075.37
  4. Step 4: Simplify right side
    8,574.90x = 52,429,346.58
  5. Step 5: Solve for x
    x = 52,429,346.58/8,574.90
  6. Step 6: Final answer
    x = 6,114.28

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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.