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Finding the Fourth Proportional to 8,047.52, 12,075.84 and 4,349.66

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Solution

The fourth proportional to 8,047.52, 12,075.84 and 4,349.66 is: 6,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.52 : 12,075.84 = 4,349.66 : x
  2. Step 2: Convert to fraction form
    8,047.52/12,075.84 = 4,349.66/x
  3. Step 3: Cross multiply
    8,047.52x = 12,075.84 × 4,349.66
  4. Step 4: Simplify right side
    8,047.52x = 52,525,798.21
  5. Step 5: Solve for x
    x = 52,525,798.21/8,047.52
  6. Step 6: Final answer
    x = 6,526.95

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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.