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Finding the Fourth Proportional to 8,341.32, 12,516.84 and 4,646.64

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Solution

The fourth proportional to 8,341.32, 12,516.84 and 4,646.64 is: 6,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.32 : 12,516.84 = 4,646.64 : x
  2. Step 2: Convert to fraction form
    8,341.32/12,516.84 = 4,646.64/x
  3. Step 3: Cross multiply
    8,341.32x = 12,516.84 × 4,646.64
  4. Step 4: Simplify right side
    8,341.32x = 58,161,249.42
  5. Step 5: Solve for x
    x = 58,161,249.42/8,341.32
  6. Step 6: Final answer
    x = 6,972.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.