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Finding the Fourth Proportional to 10,380.01, 14,323.98 and 5,903.14

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Solution

The fourth proportional to 10,380.01, 14,323.98 and 5,903.14 is: 8,146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.01 : 14,323.98 = 5,903.14 : x
  2. Step 2: Convert to fraction form
    10,380.01/14,323.98 = 5,903.14/x
  3. Step 3: Cross multiply
    10,380.01x = 14,323.98 × 5,903.14
  4. Step 4: Simplify right side
    10,380.01x = 84,556,459.30
  5. Step 5: Solve for x
    x = 84,556,459.30/10,380.01
  6. Step 6: Final answer
    x = 8,146.09

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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.