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Finding the Fourth Proportional to 10,887.64, 15,026.32 and 6,411.80

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Solution

The fourth proportional to 10,887.64, 15,026.32 and 6,411.80 is: 8,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.64 : 15,026.32 = 6,411.80 : x
  2. Step 2: Convert to fraction form
    10,887.64/15,026.32 = 6,411.80/x
  3. Step 3: Cross multiply
    10,887.64x = 15,026.32 × 6,411.80
  4. Step 4: Simplify right side
    10,887.64x = 96,345,758.58
  5. Step 5: Solve for x
    x = 96,345,758.58/10,887.64
  6. Step 6: Final answer
    x = 8,849.09

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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.