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Finding the Fourth Proportional to 10,501.94, 15,753.21 and 2,710.75

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Solution

The fourth proportional to 10,501.94, 15,753.21 and 2,710.75 is: 4,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.94 : 15,753.21 = 2,710.75 : x
  2. Step 2: Convert to fraction form
    10,501.94/15,753.21 = 2,710.75/x
  3. Step 3: Cross multiply
    10,501.94x = 15,753.21 × 2,710.75
  4. Step 4: Simplify right side
    10,501.94x = 42,703,014.01
  5. Step 5: Solve for x
    x = 42,703,014.01/10,501.94
  6. Step 6: Final answer
    x = 4,066.20

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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.