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Finding the Fourth Proportional to 10,066.76, 13,892.06 and 5,590.36

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Solution

The fourth proportional to 10,066.76, 13,892.06 and 5,590.36 is: 7,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.76 : 13,892.06 = 5,590.36 : x
  2. Step 2: Convert to fraction form
    10,066.76/13,892.06 = 5,590.36/x
  3. Step 3: Cross multiply
    10,066.76x = 13,892.06 × 5,590.36
  4. Step 4: Simplify right side
    10,066.76x = 77,661,616.54
  5. Step 5: Solve for x
    x = 77,661,616.54/10,066.76
  6. Step 6: Final answer
    x = 7,714.66

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