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Finding the Fourth Proportional to 11,897.16, 16,418.16 and 6,592.32

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Solution

The fourth proportional to 11,897.16, 16,418.16 and 6,592.32 is: 9,097.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.16 : 16,418.16 = 6,592.32 : x
  2. Step 2: Convert to fraction form
    11,897.16/16,418.16 = 6,592.32/x
  3. Step 3: Cross multiply
    11,897.16x = 16,418.16 × 6,592.32
  4. Step 4: Simplify right side
    11,897.16x = 108,233,764.53
  5. Step 5: Solve for x
    x = 108,233,764.53/11,897.16
  6. Step 6: Final answer
    x = 9,097.45

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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.