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Finding the Fourth Proportional to 10,726.03, 14,802.74 and 6,750.55

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Solution

The fourth proportional to 10,726.03, 14,802.74 and 6,750.55 is: 9,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.03 : 14,802.74 = 6,750.55 : x
  2. Step 2: Convert to fraction form
    10,726.03/14,802.74 = 6,750.55/x
  3. Step 3: Cross multiply
    10,726.03x = 14,802.74 × 6,750.55
  4. Step 4: Simplify right side
    10,726.03x = 99,926,616.38
  5. Step 5: Solve for x
    x = 99,926,616.38/10,726.03
  6. Step 6: Final answer
    x = 9,316.27

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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.