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Finding the Fourth Proportional to 10,989.76, 16,486.72 and 4,416.46

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Solution

The fourth proportional to 10,989.76, 16,486.72 and 4,416.46 is: 6,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.76 : 16,486.72 = 4,416.46 : x
  2. Step 2: Convert to fraction form
    10,989.76/16,486.72 = 4,416.46/x
  3. Step 3: Cross multiply
    10,989.76x = 16,486.72 × 4,416.46
  4. Step 4: Simplify right side
    10,989.76x = 72,812,939.41
  5. Step 5: Solve for x
    x = 72,812,939.41/10,989.76
  6. Step 6: Final answer
    x = 6,625.53

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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.