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Finding the Fourth Proportional to 10,380.59, 14,325.13 and 5,904.34

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Solution

The fourth proportional to 10,380.59, 14,325.13 and 5,904.34 is: 8,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.59 : 14,325.13 = 5,904.34 : x
  2. Step 2: Convert to fraction form
    10,380.59/14,325.13 = 5,904.34/x
  3. Step 3: Cross multiply
    10,380.59x = 14,325.13 × 5,904.34
  4. Step 4: Simplify right side
    10,380.59x = 84,580,409.63
  5. Step 5: Solve for x
    x = 84,580,409.63/10,380.59
  6. Step 6: Final answer
    x = 8,147.94

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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.