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Finding the Fourth Proportional to 7,142.59, 9,846.29 and 5,011.66

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Solution

The fourth proportional to 7,142.59, 9,846.29 and 5,011.66 is: 6,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.59 : 9,846.29 = 5,011.66 : x
  2. Step 2: Convert to fraction form
    7,142.59/9,846.29 = 5,011.66/x
  3. Step 3: Cross multiply
    7,142.59x = 9,846.29 × 5,011.66
  4. Step 4: Simplify right side
    7,142.59x = 49,346,257.74
  5. Step 5: Solve for x
    x = 49,346,257.74/7,142.59
  6. Step 6: Final answer
    x = 6,908.73

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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.