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Finding the Fourth Proportional to 8,726.65, 13,030.87 and 6,856.77

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Solution

The fourth proportional to 8,726.65, 13,030.87 and 6,856.77 is: 10,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.65 : 13,030.87 = 6,856.77 : x
  2. Step 2: Convert to fraction form
    8,726.65/13,030.87 = 6,856.77/x
  3. Step 3: Cross multiply
    8,726.65x = 13,030.87 × 6,856.77
  4. Step 4: Simplify right side
    8,726.65x = 89,349,678.49
  5. Step 5: Solve for x
    x = 89,349,678.49/8,726.65
  6. Step 6: Final answer
    x = 10,238.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.