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Finding the Fourth Proportional to 10,699.98, 14,766.75 and 5,985.78

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Solution

The fourth proportional to 10,699.98, 14,766.75 and 5,985.78 is: 8,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.98 : 14,766.75 = 5,985.78 : x
  2. Step 2: Convert to fraction form
    10,699.98/14,766.75 = 5,985.78/x
  3. Step 3: Cross multiply
    10,699.98x = 14,766.75 × 5,985.78
  4. Step 4: Simplify right side
    10,699.98x = 88,390,516.82
  5. Step 5: Solve for x
    x = 88,390,516.82/10,699.98
  6. Step 6: Final answer
    x = 8,260.81

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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.