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Finding the Fourth Proportional to 8,726.82, 13,075.65 and 6,117

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Solution

The fourth proportional to 8,726.82, 13,075.65 and 6,117 is: 9,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.82 : 13,075.65 = 6,117 : x
  2. Step 2: Convert to fraction form
    8,726.82/13,075.65 = 6,117/x
  3. Step 3: Cross multiply
    8,726.82x = 13,075.65 × 6,117
  4. Step 4: Simplify right side
    8,726.82x = 79,983,751.05
  5. Step 5: Solve for x
    x = 79,983,751.05/8,726.82
  6. Step 6: Final answer
    x = 9,165.28

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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.