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Finding the Fourth Proportional to 10,610.58, 14,643.07 and 5,894.87

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Solution

The fourth proportional to 10,610.58, 14,643.07 and 5,894.87 is: 8,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.58 : 14,643.07 = 5,894.87 : x
  2. Step 2: Convert to fraction form
    10,610.58/14,643.07 = 5,894.87/x
  3. Step 3: Cross multiply
    10,610.58x = 14,643.07 × 5,894.87
  4. Step 4: Simplify right side
    10,610.58x = 86,318,906.10
  5. Step 5: Solve for x
    x = 86,318,906.10/10,610.58
  6. Step 6: Final answer
    x = 8,135.17

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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.