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Finding the Fourth Proportional to 10,726.65, 14,802.45 and 5,946.47

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Solution

The fourth proportional to 10,726.65, 14,802.45 and 5,946.47 is: 8,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.65 : 14,802.45 = 5,946.47 : x
  2. Step 2: Convert to fraction form
    10,726.65/14,802.45 = 5,946.47/x
  3. Step 3: Cross multiply
    10,726.65x = 14,802.45 × 5,946.47
  4. Step 4: Simplify right side
    10,726.65x = 88,022,250.84
  5. Step 5: Solve for x
    x = 88,022,250.84/10,726.65
  6. Step 6: Final answer
    x = 8,205.94

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Why These Related Problems?

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