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Finding the Fourth Proportional to 6,524.56, 8,990.76 and 4,658.32

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Solution

The fourth proportional to 6,524.56, 8,990.76 and 4,658.32 is: 6,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.56 : 8,990.76 = 4,658.32 : x
  2. Step 2: Convert to fraction form
    6,524.56/8,990.76 = 4,658.32/x
  3. Step 3: Cross multiply
    6,524.56x = 8,990.76 × 4,658.32
  4. Step 4: Simplify right side
    6,524.56x = 41,881,837.12
  5. Step 5: Solve for x
    x = 41,881,837.12/6,524.56
  6. Step 6: Final answer
    x = 6,419.11

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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.