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Finding the Fourth Proportional to 7,527.96, 10,387.86 and 4,695.66

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Solution

The fourth proportional to 7,527.96, 10,387.86 and 4,695.66 is: 6,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.96 : 10,387.86 = 4,695.66 : x
  2. Step 2: Convert to fraction form
    7,527.96/10,387.86 = 4,695.66/x
  3. Step 3: Cross multiply
    7,527.96x = 10,387.86 × 4,695.66
  4. Step 4: Simplify right side
    7,527.96x = 48,777,858.69
  5. Step 5: Solve for x
    x = 48,777,858.69/7,527.96
  6. Step 6: Final answer
    x = 6,479.56

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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.