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Finding the Fourth Proportional to 10,646.22, 14,688.53 and 6,169.10

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Solution

The fourth proportional to 10,646.22, 14,688.53 and 6,169.10 is: 8,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.22 : 14,688.53 = 6,169.10 : x
  2. Step 2: Convert to fraction form
    10,646.22/14,688.53 = 6,169.10/x
  3. Step 3: Cross multiply
    10,646.22x = 14,688.53 × 6,169.10
  4. Step 4: Simplify right side
    10,646.22x = 90,615,016.30
  5. Step 5: Solve for x
    x = 90,615,016.30/10,646.22
  6. Step 6: Final answer
    x = 8,511.48

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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.