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Finding the Fourth Proportional to 10,853.47, 16,269.10 and 7,343.84

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Solution

The fourth proportional to 10,853.47, 16,269.10 and 7,343.84 is: 11,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.47 : 16,269.10 = 7,343.84 : x
  2. Step 2: Convert to fraction form
    10,853.47/16,269.10 = 7,343.84/x
  3. Step 3: Cross multiply
    10,853.47x = 16,269.10 × 7,343.84
  4. Step 4: Simplify right side
    10,853.47x = 119,477,667.34
  5. Step 5: Solve for x
    x = 119,477,667.34/10,853.47
  6. Step 6: Final answer
    x = 11,008.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.