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Finding the Fourth Proportional to 10,518.56, 15,773.74 and 7,232.59

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Solution

The fourth proportional to 10,518.56, 15,773.74 and 7,232.59 is: 10,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.56 : 15,773.74 = 7,232.59 : x
  2. Step 2: Convert to fraction form
    10,518.56/15,773.74 = 7,232.59/x
  3. Step 3: Cross multiply
    10,518.56x = 15,773.74 × 7,232.59
  4. Step 4: Simplify right side
    10,518.56x = 114,084,995.82
  5. Step 5: Solve for x
    x = 114,084,995.82/10,518.56
  6. Step 6: Final answer
    x = 10,846.07

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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.