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Finding the Fourth Proportional to 7,670.74, 10,585.68 and 4,313.56

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Solution

The fourth proportional to 7,670.74, 10,585.68 and 4,313.56 is: 5,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.74 : 10,585.68 = 4,313.56 : x
  2. Step 2: Convert to fraction form
    7,670.74/10,585.68 = 4,313.56/x
  3. Step 3: Cross multiply
    7,670.74x = 10,585.68 × 4,313.56
  4. Step 4: Simplify right side
    7,670.74x = 45,661,965.82
  5. Step 5: Solve for x
    x = 45,661,965.82/7,670.74
  6. Step 6: Final answer
    x = 5,952.75

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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.