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Finding the Fourth Proportional to 10,858.54, 14,985.69 and 6,143.72

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Solution

The fourth proportional to 10,858.54, 14,985.69 and 6,143.72 is: 8,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.54 : 14,985.69 = 6,143.72 : x
  2. Step 2: Convert to fraction form
    10,858.54/14,985.69 = 6,143.72/x
  3. Step 3: Cross multiply
    10,858.54x = 14,985.69 × 6,143.72
  4. Step 4: Simplify right side
    10,858.54x = 92,067,883.37
  5. Step 5: Solve for x
    x = 92,067,883.37/10,858.54
  6. Step 6: Final answer
    x = 8,478.85

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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.