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Finding the Fourth Proportional to 10,495.82, 14,483.76 and 6,016.36

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Solution

The fourth proportional to 10,495.82, 14,483.76 and 6,016.36 is: 8,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.82 : 14,483.76 = 6,016.36 : x
  2. Step 2: Convert to fraction form
    10,495.82/14,483.76 = 6,016.36/x
  3. Step 3: Cross multiply
    10,495.82x = 14,483.76 × 6,016.36
  4. Step 4: Simplify right side
    10,495.82x = 87,139,426.85
  5. Step 5: Solve for x
    x = 87,139,426.85/10,495.82
  6. Step 6: Final answer
    x = 8,302.30

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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.