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Finding the Fourth Proportional to 8,075.61, 12,106.92 and 4,563.45

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Solution

The fourth proportional to 8,075.61, 12,106.92 and 4,563.45 is: 6,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.61 : 12,106.92 = 4,563.45 : x
  2. Step 2: Convert to fraction form
    8,075.61/12,106.92 = 4,563.45/x
  3. Step 3: Cross multiply
    8,075.61x = 12,106.92 × 4,563.45
  4. Step 4: Simplify right side
    8,075.61x = 55,249,324.07
  5. Step 5: Solve for x
    x = 55,249,324.07/8,075.61
  6. Step 6: Final answer
    x = 6,841.50

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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.