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Finding the Fourth Proportional to 10,652.23, 14,690.53 and 6,673.78

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Solution

The fourth proportional to 10,652.23, 14,690.53 and 6,673.78 is: 9,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.23 : 14,690.53 = 6,673.78 : x
  2. Step 2: Convert to fraction form
    10,652.23/14,690.53 = 6,673.78/x
  3. Step 3: Cross multiply
    10,652.23x = 14,690.53 × 6,673.78
  4. Step 4: Simplify right side
    10,652.23x = 98,041,365.30
  5. Step 5: Solve for x
    x = 98,041,365.30/10,652.23
  6. Step 6: Final answer
    x = 9,203.83

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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.