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Finding the Fourth Proportional to 7,802.18, 11,705.10 and 5,338.16

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Solution

The fourth proportional to 7,802.18, 11,705.10 and 5,338.16 is: 8,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.18 : 11,705.10 = 5,338.16 : x
  2. Step 2: Convert to fraction form
    7,802.18/11,705.10 = 5,338.16/x
  3. Step 3: Cross multiply
    7,802.18x = 11,705.10 × 5,338.16
  4. Step 4: Simplify right side
    7,802.18x = 62,483,696.62
  5. Step 5: Solve for x
    x = 62,483,696.62/7,802.18
  6. Step 6: Final answer
    x = 8,008.49

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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.