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Finding the Fourth Proportional to 11,612.58, 16,026.57 and 6,897.30

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Solution

The fourth proportional to 11,612.58, 16,026.57 and 6,897.30 is: 9,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.58 : 16,026.57 = 6,897.30 : x
  2. Step 2: Convert to fraction form
    11,612.58/16,026.57 = 6,897.30/x
  3. Step 3: Cross multiply
    11,612.58x = 16,026.57 × 6,897.30
  4. Step 4: Simplify right side
    11,612.58x = 110,540,061.26
  5. Step 5: Solve for x
    x = 110,540,061.26/11,612.58
  6. Step 6: Final answer
    x = 9,518.99

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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.