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Finding the Fourth Proportional to 10,651.50, 14,700.42 and 7,677.18

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Solution

The fourth proportional to 10,651.50, 14,700.42 and 7,677.18 is: 10,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.50 : 14,700.42 = 7,677.18 : x
  2. Step 2: Convert to fraction form
    10,651.50/14,700.42 = 7,677.18/x
  3. Step 3: Cross multiply
    10,651.50x = 14,700.42 × 7,677.18
  4. Step 4: Simplify right side
    10,651.50x = 112,857,770.42
  5. Step 5: Solve for x
    x = 112,857,770.42/10,651.50
  6. Step 6: Final answer
    x = 10,595.48

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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.