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Finding the Fourth Proportional to 7,718.64, 10,645.08 and 6,226

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Solution

The fourth proportional to 7,718.64, 10,645.08 and 6,226 is: 8,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.64 : 10,645.08 = 6,226 : x
  2. Step 2: Convert to fraction form
    7,718.64/10,645.08 = 6,226/x
  3. Step 3: Cross multiply
    7,718.64x = 10,645.08 × 6,226
  4. Step 4: Simplify right side
    7,718.64x = 66,276,268.08
  5. Step 5: Solve for x
    x = 66,276,268.08/7,718.64
  6. Step 6: Final answer
    x = 8,586.52

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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.