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Finding the Fourth Proportional to 10,066.69, 13,892.12 and 5,590.52

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Solution

The fourth proportional to 10,066.69, 13,892.12 and 5,590.52 is: 7,714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.69 : 13,892.12 = 5,590.52 : x
  2. Step 2: Convert to fraction form
    10,066.69/13,892.12 = 5,590.52/x
  3. Step 3: Cross multiply
    10,066.69x = 13,892.12 × 5,590.52
  4. Step 4: Simplify right side
    10,066.69x = 77,664,158.21
  5. Step 5: Solve for x
    x = 77,664,158.21/10,066.69
  6. Step 6: Final answer
    x = 7,714.96

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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.