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Finding the Fourth Proportional to 10,370.34, 14,308.65 and 5,893.74

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Solution

The fourth proportional to 10,370.34, 14,308.65 and 5,893.74 is: 8,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.34 : 14,308.65 = 5,893.74 : x
  2. Step 2: Convert to fraction form
    10,370.34/14,308.65 = 5,893.74/x
  3. Step 3: Cross multiply
    10,370.34x = 14,308.65 × 5,893.74
  4. Step 4: Simplify right side
    10,370.34x = 84,331,462.85
  5. Step 5: Solve for x
    x = 84,331,462.85/10,370.34
  6. Step 6: Final answer
    x = 8,131.99

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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.