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Finding the Fourth Proportional to 6,808.32, 10,162.80 and 5,840.64

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Solution

The fourth proportional to 6,808.32, 10,162.80 and 5,840.64 is: 8,718.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.32 : 10,162.80 = 5,840.64 : x
  2. Step 2: Convert to fraction form
    6,808.32/10,162.80 = 5,840.64/x
  3. Step 3: Cross multiply
    6,808.32x = 10,162.80 × 5,840.64
  4. Step 4: Simplify right side
    6,808.32x = 59,357,256.19
  5. Step 5: Solve for x
    x = 59,357,256.19/6,808.32
  6. Step 6: Final answer
    x = 8,718.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.