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Finding the Fourth Proportional to 8,482.98, 12,710.64 and 4,317.26

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Solution

The fourth proportional to 8,482.98, 12,710.64 and 4,317.26 is: 6,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.98 : 12,710.64 = 4,317.26 : x
  2. Step 2: Convert to fraction form
    8,482.98/12,710.64 = 4,317.26/x
  3. Step 3: Cross multiply
    8,482.98x = 12,710.64 × 4,317.26
  4. Step 4: Simplify right side
    8,482.98x = 54,875,137.65
  5. Step 5: Solve for x
    x = 54,875,137.65/8,482.98
  6. Step 6: Final answer
    x = 6,468.85

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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.