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Finding the Fourth Proportional to 8,314.08, 12,474.72 and 4,417.50

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Solution

The fourth proportional to 8,314.08, 12,474.72 and 4,417.50 is: 6,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.08 : 12,474.72 = 4,417.50 : x
  2. Step 2: Convert to fraction form
    8,314.08/12,474.72 = 4,417.50/x
  3. Step 3: Cross multiply
    8,314.08x = 12,474.72 × 4,417.50
  4. Step 4: Simplify right side
    8,314.08x = 55,107,075.60
  5. Step 5: Solve for x
    x = 55,107,075.60/8,314.08
  6. Step 6: Final answer
    x = 6,628.16

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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.