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Finding the Fourth Proportional to 8,559.64, 12,841.54 and 2,716.30

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Solution

The fourth proportional to 8,559.64, 12,841.54 and 2,716.30 is: 4,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.64 : 12,841.54 = 2,716.30 : x
  2. Step 2: Convert to fraction form
    8,559.64/12,841.54 = 2,716.30/x
  3. Step 3: Cross multiply
    8,559.64x = 12,841.54 × 2,716.30
  4. Step 4: Simplify right side
    8,559.64x = 34,881,461.52
  5. Step 5: Solve for x
    x = 34,881,461.52/8,559.64
  6. Step 6: Final answer
    x = 4,075.11

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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.