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Finding the Fourth Proportional to 8,645, 12,895.63 and 8,502.31

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Solution

The fourth proportional to 8,645, 12,895.63 and 8,502.31 is: 12,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645 : 12,895.63 = 8,502.31 : x
  2. Step 2: Convert to fraction form
    8,645/12,895.63 = 8,502.31/x
  3. Step 3: Cross multiply
    8,645x = 12,895.63 × 8,502.31
  4. Step 4: Simplify right side
    8,645x = 109,642,643.91
  5. Step 5: Solve for x
    x = 109,642,643.91/8,645
  6. Step 6: Final answer
    x = 12,682.78

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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.