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Finding the Fourth Proportional to 10,646.37, 14,691.99 and 6,172.72

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Solution

The fourth proportional to 10,646.37, 14,691.99 and 6,172.72 is: 8,518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.37 : 14,691.99 = 6,172.72 : x
  2. Step 2: Convert to fraction form
    10,646.37/14,691.99 = 6,172.72/x
  3. Step 3: Cross multiply
    10,646.37x = 14,691.99 × 6,172.72
  4. Step 4: Simplify right side
    10,646.37x = 90,689,540.51
  5. Step 5: Solve for x
    x = 90,689,540.51/10,646.37
  6. Step 6: Final answer
    x = 8,518.35

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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.