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Finding the Fourth Proportional to 7,538.20, 10,407.86 and 4,709.88

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Solution

The fourth proportional to 7,538.20, 10,407.86 and 4,709.88 is: 6,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.20 : 10,407.86 = 4,709.88 : x
  2. Step 2: Convert to fraction form
    7,538.20/10,407.86 = 4,709.88/x
  3. Step 3: Cross multiply
    7,538.20x = 10,407.86 × 4,709.88
  4. Step 4: Simplify right side
    7,538.20x = 49,019,771.66
  5. Step 5: Solve for x
    x = 49,019,771.66/7,538.20
  6. Step 6: Final answer
    x = 6,502.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.