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Finding the Fourth Proportional to 10,652.39, 14,699.96 and 6,675.69

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Solution

The fourth proportional to 10,652.39, 14,699.96 and 6,675.69 is: 9,212.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.39 : 14,699.96 = 6,675.69 : x
  2. Step 2: Convert to fraction form
    10,652.39/14,699.96 = 6,675.69/x
  3. Step 3: Cross multiply
    10,652.39x = 14,699.96 × 6,675.69
  4. Step 4: Simplify right side
    10,652.39x = 98,132,342.59
  5. Step 5: Solve for x
    x = 98,132,342.59/10,652.39
  6. Step 6: Final answer
    x = 9,212.24

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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.