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Finding the Fourth Proportional to 10,141.50, 13,996.50 and 6,607.68

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Solution

The fourth proportional to 10,141.50, 13,996.50 and 6,607.68 is: 9,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.50 : 13,996.50 = 6,607.68 : x
  2. Step 2: Convert to fraction form
    10,141.50/13,996.50 = 6,607.68/x
  3. Step 3: Cross multiply
    10,141.50x = 13,996.50 × 6,607.68
  4. Step 4: Simplify right side
    10,141.50x = 92,484,393.12
  5. Step 5: Solve for x
    x = 92,484,393.12/10,141.50
  6. Step 6: Final answer
    x = 9,119.40

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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.