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Finding the Fourth Proportional to 8,266.95, 11,408.10 and 4,730.08

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Solution

The fourth proportional to 8,266.95, 11,408.10 and 4,730.08 is: 6,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.95 : 11,408.10 = 4,730.08 : x
  2. Step 2: Convert to fraction form
    8,266.95/11,408.10 = 4,730.08/x
  3. Step 3: Cross multiply
    8,266.95x = 11,408.10 × 4,730.08
  4. Step 4: Simplify right side
    8,266.95x = 53,961,225.65
  5. Step 5: Solve for x
    x = 53,961,225.65/8,266.95
  6. Step 6: Final answer
    x = 6,527.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.