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Finding the Fourth Proportional to 10,677.41, 15,994.68 and 9,805.45

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Solution

The fourth proportional to 10,677.41, 15,994.68 and 9,805.45 is: 14,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.41 : 15,994.68 = 9,805.45 : x
  2. Step 2: Convert to fraction form
    10,677.41/15,994.68 = 9,805.45/x
  3. Step 3: Cross multiply
    10,677.41x = 15,994.68 × 9,805.45
  4. Step 4: Simplify right side
    10,677.41x = 156,835,035.01
  5. Step 5: Solve for x
    x = 156,835,035.01/10,677.41
  6. Step 6: Final answer
    x = 14,688.49

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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.