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Finding the Fourth Proportional to 7,673.61, 11,498.11 and 6,935.50

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Solution

The fourth proportional to 7,673.61, 11,498.11 and 6,935.50 is: 10,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.61 : 11,498.11 = 6,935.50 : x
  2. Step 2: Convert to fraction form
    7,673.61/11,498.11 = 6,935.50/x
  3. Step 3: Cross multiply
    7,673.61x = 11,498.11 × 6,935.50
  4. Step 4: Simplify right side
    7,673.61x = 79,745,141.91
  5. Step 5: Solve for x
    x = 79,745,141.91/7,673.61
  6. Step 6: Final answer
    x = 10,392.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.