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Finding the Fourth Proportional to 10,507.85, 15,762.93 and 4,266.96

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Solution

The fourth proportional to 10,507.85, 15,762.93 and 4,266.96 is: 6,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.85 : 15,762.93 = 4,266.96 : x
  2. Step 2: Convert to fraction form
    10,507.85/15,762.93 = 4,266.96/x
  3. Step 3: Cross multiply
    10,507.85x = 15,762.93 × 4,266.96
  4. Step 4: Simplify right side
    10,507.85x = 67,259,791.79
  5. Step 5: Solve for x
    x = 67,259,791.79/10,507.85
  6. Step 6: Final answer
    x = 6,400.91

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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.