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Finding the Fourth Proportional to 10,665.44, 16,003.76 and 7,565.43

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Solution

The fourth proportional to 10,665.44, 16,003.76 and 7,565.43 is: 11,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.44 : 16,003.76 = 7,565.43 : x
  2. Step 2: Convert to fraction form
    10,665.44/16,003.76 = 7,565.43/x
  3. Step 3: Cross multiply
    10,665.44x = 16,003.76 × 7,565.43
  4. Step 4: Simplify right side
    10,665.44x = 121,075,326.02
  5. Step 5: Solve for x
    x = 121,075,326.02/10,665.44
  6. Step 6: Final answer
    x = 11,352.12

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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.