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Finding the Fourth Proportional to 10,358.34, 14,295.99 and 5,882.50

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Solution

The fourth proportional to 10,358.34, 14,295.99 and 5,882.50 is: 8,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.34 : 14,295.99 = 5,882.50 : x
  2. Step 2: Convert to fraction form
    10,358.34/14,295.99 = 5,882.50/x
  3. Step 3: Cross multiply
    10,358.34x = 14,295.99 × 5,882.50
  4. Step 4: Simplify right side
    10,358.34x = 84,096,201.10
  5. Step 5: Solve for x
    x = 84,096,201.10/10,358.34
  6. Step 6: Final answer
    x = 8,118.70

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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.