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Finding the Fourth Proportional to 10,358.63, 14,295.20 and 5,882.10

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Solution

The fourth proportional to 10,358.63, 14,295.20 and 5,882.10 is: 8,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.63 : 14,295.20 = 5,882.10 : x
  2. Step 2: Convert to fraction form
    10,358.63/14,295.20 = 5,882.10/x
  3. Step 3: Cross multiply
    10,358.63x = 14,295.20 × 5,882.10
  4. Step 4: Simplify right side
    10,358.63x = 84,085,766.51
  5. Step 5: Solve for x
    x = 84,085,766.51/10,358.63
  6. Step 6: Final answer
    x = 8,117.46

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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.