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Finding the Fourth Proportional to 10,486.98, 14,473.89 and 6,295.50

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Solution

The fourth proportional to 10,486.98, 14,473.89 and 6,295.50 is: 8,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.98 : 14,473.89 = 6,295.50 : x
  2. Step 2: Convert to fraction form
    10,486.98/14,473.89 = 6,295.50/x
  3. Step 3: Cross multiply
    10,486.98x = 14,473.89 × 6,295.50
  4. Step 4: Simplify right side
    10,486.98x = 91,120,374.50
  5. Step 5: Solve for x
    x = 91,120,374.50/10,486.98
  6. Step 6: Final answer
    x = 8,688.91

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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.