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Finding the Fourth Proportional to 7,608.42, 10,499.70 and 4,464.66

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Solution

The fourth proportional to 7,608.42, 10,499.70 and 4,464.66 is: 6,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.42 : 10,499.70 = 4,464.66 : x
  2. Step 2: Convert to fraction form
    7,608.42/10,499.70 = 4,464.66/x
  3. Step 3: Cross multiply
    7,608.42x = 10,499.70 × 4,464.66
  4. Step 4: Simplify right side
    7,608.42x = 46,877,590.60
  5. Step 5: Solve for x
    x = 46,877,590.60/7,608.42
  6. Step 6: Final answer
    x = 6,161.28

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