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Finding the Fourth Proportional to 10,525.34, 15,777.02 and 4,282.86

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Solution

The fourth proportional to 10,525.34, 15,777.02 and 4,282.86 is: 6,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.34 : 15,777.02 = 4,282.86 : x
  2. Step 2: Convert to fraction form
    10,525.34/15,777.02 = 4,282.86/x
  3. Step 3: Cross multiply
    10,525.34x = 15,777.02 × 4,282.86
  4. Step 4: Simplify right side
    10,525.34x = 67,570,767.88
  5. Step 5: Solve for x
    x = 67,570,767.88/10,525.34
  6. Step 6: Final answer
    x = 6,419.82

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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.