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Finding the Fourth Proportional to 7,008.08, 9,656.52 and 4,766.06

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Solution

The fourth proportional to 7,008.08, 9,656.52 and 4,766.06 is: 6,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.08 : 9,656.52 = 4,766.06 : x
  2. Step 2: Convert to fraction form
    7,008.08/9,656.52 = 4,766.06/x
  3. Step 3: Cross multiply
    7,008.08x = 9,656.52 × 4,766.06
  4. Step 4: Simplify right side
    7,008.08x = 46,023,505.43
  5. Step 5: Solve for x
    x = 46,023,505.43/7,008.08
  6. Step 6: Final answer
    x = 6,567.21

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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.