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Finding the Fourth Proportional to 7,042.80, 10,612.65 and 5,837.34

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Solution

The fourth proportional to 7,042.80, 10,612.65 and 5,837.34 is: 8,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.80 : 10,612.65 = 5,837.34 : x
  2. Step 2: Convert to fraction form
    7,042.80/10,612.65 = 5,837.34/x
  3. Step 3: Cross multiply
    7,042.80x = 10,612.65 × 5,837.34
  4. Step 4: Simplify right side
    7,042.80x = 61,949,646.35
  5. Step 5: Solve for x
    x = 61,949,646.35/7,042.80
  6. Step 6: Final answer
    x = 8,796.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.