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Finding the Fourth Proportional to 7,670.64, 10,590.39 and 5,022.54

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Solution

The fourth proportional to 7,670.64, 10,590.39 and 5,022.54 is: 6,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.64 : 10,590.39 = 5,022.54 : x
  2. Step 2: Convert to fraction form
    7,670.64/10,590.39 = 5,022.54/x
  3. Step 3: Cross multiply
    7,670.64x = 10,590.39 × 5,022.54
  4. Step 4: Simplify right side
    7,670.64x = 53,190,657.39
  5. Step 5: Solve for x
    x = 53,190,657.39/7,670.64
  6. Step 6: Final answer
    x = 6,934.32

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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.