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Finding the Fourth Proportional to 7,670.94, 10,579.34 and 5,284.72

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Solution

The fourth proportional to 7,670.94, 10,579.34 and 5,284.72 is: 7,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.94 : 10,579.34 = 5,284.72 : x
  2. Step 2: Convert to fraction form
    7,670.94/10,579.34 = 5,284.72/x
  3. Step 3: Cross multiply
    7,670.94x = 10,579.34 × 5,284.72
  4. Step 4: Simplify right side
    7,670.94x = 55,908,849.68
  5. Step 5: Solve for x
    x = 55,908,849.68/7,670.94
  6. Step 6: Final answer
    x = 7,288.40

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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.