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Finding the Fourth Proportional to 10,535.51, 15,803.07 and 3,144.98

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Solution

The fourth proportional to 10,535.51, 15,803.07 and 3,144.98 is: 4,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.51 : 15,803.07 = 3,144.98 : x
  2. Step 2: Convert to fraction form
    10,535.51/15,803.07 = 3,144.98/x
  3. Step 3: Cross multiply
    10,535.51x = 15,803.07 × 3,144.98
  4. Step 4: Simplify right side
    10,535.51x = 49,700,339.09
  5. Step 5: Solve for x
    x = 49,700,339.09/10,535.51
  6. Step 6: Final answer
    x = 4,717.41

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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.