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Finding the Fourth Proportional to 7,827.69, 10,802.25 and 4,290.84

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Solution

The fourth proportional to 7,827.69, 10,802.25 and 4,290.84 is: 5,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.69 : 10,802.25 = 4,290.84 : x
  2. Step 2: Convert to fraction form
    7,827.69/10,802.25 = 4,290.84/x
  3. Step 3: Cross multiply
    7,827.69x = 10,802.25 × 4,290.84
  4. Step 4: Simplify right side
    7,827.69x = 46,350,726.39
  5. Step 5: Solve for x
    x = 46,350,726.39/7,827.69
  6. Step 6: Final answer
    x = 5,921.38

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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.