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Finding the Fourth Proportional to 11,895.48, 16,415.64 and 6,590.20

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Solution

The fourth proportional to 11,895.48, 16,415.64 and 6,590.20 is: 9,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.48 : 16,415.64 = 6,590.20 : x
  2. Step 2: Convert to fraction form
    11,895.48/16,415.64 = 6,590.20/x
  3. Step 3: Cross multiply
    11,895.48x = 16,415.64 × 6,590.20
  4. Step 4: Simplify right side
    11,895.48x = 108,182,350.73
  5. Step 5: Solve for x
    x = 108,182,350.73/11,895.48
  6. Step 6: Final answer
    x = 9,094.41

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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.