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Finding the Fourth Proportional to 11,607.48, 16,026.64 and 7,137.24

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Solution

The fourth proportional to 11,607.48, 16,026.64 and 7,137.24 is: 9,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.48 : 16,026.64 = 7,137.24 : x
  2. Step 2: Convert to fraction form
    11,607.48/16,026.64 = 7,137.24/x
  3. Step 3: Cross multiply
    11,607.48x = 16,026.64 × 7,137.24
  4. Step 4: Simplify right side
    11,607.48x = 114,385,976.07
  5. Step 5: Solve for x
    x = 114,385,976.07/11,607.48
  6. Step 6: Final answer
    x = 9,854.51

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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.