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Finding the Fourth Proportional to 12,003.44, 16,563.96 and 7,527

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Solution

The fourth proportional to 12,003.44, 16,563.96 and 7,527 is: 10,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.44 : 16,563.96 = 7,527 : x
  2. Step 2: Convert to fraction form
    12,003.44/16,563.96 = 7,527/x
  3. Step 3: Cross multiply
    12,003.44x = 16,563.96 × 7,527
  4. Step 4: Simplify right side
    12,003.44x = 124,676,926.92
  5. Step 5: Solve for x
    x = 124,676,926.92/12,003.44
  6. Step 6: Final answer
    x = 10,386.77

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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.