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Finding the Fourth Proportional to 10,510.44, 15,768.99 and 3,114.93

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Solution

The fourth proportional to 10,510.44, 15,768.99 and 3,114.93 is: 4,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.44 : 15,768.99 = 3,114.93 : x
  2. Step 2: Convert to fraction form
    10,510.44/15,768.99 = 3,114.93/x
  3. Step 3: Cross multiply
    10,510.44x = 15,768.99 × 3,114.93
  4. Step 4: Simplify right side
    10,510.44x = 49,119,300.02
  5. Step 5: Solve for x
    x = 49,119,300.02/10,510.44
  6. Step 6: Final answer
    x = 4,673.38

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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.