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Finding the Fourth Proportional to 10,507.88, 15,762.58 and 3,011.33

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Solution

The fourth proportional to 10,507.88, 15,762.58 and 3,011.33 is: 4,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.88 : 15,762.58 = 3,011.33 : x
  2. Step 2: Convert to fraction form
    10,507.88/15,762.58 = 3,011.33/x
  3. Step 3: Cross multiply
    10,507.88x = 15,762.58 × 3,011.33
  4. Step 4: Simplify right side
    10,507.88x = 47,466,243.69
  5. Step 5: Solve for x
    x = 47,466,243.69/10,507.88
  6. Step 6: Final answer
    x = 4,517.21

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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.