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Finding the Fourth Proportional to 8,682.30, 11,981.58 and 4,703.42

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Solution

The fourth proportional to 8,682.30, 11,981.58 and 4,703.42 is: 6,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.30 : 11,981.58 = 4,703.42 : x
  2. Step 2: Convert to fraction form
    8,682.30/11,981.58 = 4,703.42/x
  3. Step 3: Cross multiply
    8,682.30x = 11,981.58 × 4,703.42
  4. Step 4: Simplify right side
    8,682.30x = 56,354,403.00
  5. Step 5: Solve for x
    x = 56,354,403.00/8,682.30
  6. Step 6: Final answer
    x = 6,490.72

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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.