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Finding the Fourth Proportional to 11,902.72, 16,412.27 and 7,590.05

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Solution

The fourth proportional to 11,902.72, 16,412.27 and 7,590.05 is: 10,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.72 : 16,412.27 = 7,590.05 : x
  2. Step 2: Convert to fraction form
    11,902.72/16,412.27 = 7,590.05/x
  3. Step 3: Cross multiply
    11,902.72x = 16,412.27 × 7,590.05
  4. Step 4: Simplify right side
    11,902.72x = 124,570,026.46
  5. Step 5: Solve for x
    x = 124,570,026.46/11,902.72
  6. Step 6: Final answer
    x = 10,465.68

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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.