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Finding the Fourth Proportional to 10,607.75, 14,638.77 and 6,631.20

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Solution

The fourth proportional to 10,607.75, 14,638.77 and 6,631.20 is: 9,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.75 : 14,638.77 = 6,631.20 : x
  2. Step 2: Convert to fraction form
    10,607.75/14,638.77 = 6,631.20/x
  3. Step 3: Cross multiply
    10,607.75x = 14,638.77 × 6,631.20
  4. Step 4: Simplify right side
    10,607.75x = 97,072,611.62
  5. Step 5: Solve for x
    x = 97,072,611.62/10,607.75
  6. Step 6: Final answer
    x = 9,151.11

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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.