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Finding the Fourth Proportional to 10,358.57, 14,295.86 and 6,325.18

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Solution

The fourth proportional to 10,358.57, 14,295.86 and 6,325.18 is: 8,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.57 : 14,295.86 = 6,325.18 : x
  2. Step 2: Convert to fraction form
    10,358.57/14,295.86 = 6,325.18/x
  3. Step 3: Cross multiply
    10,358.57x = 14,295.86 × 6,325.18
  4. Step 4: Simplify right side
    10,358.57x = 90,423,867.83
  5. Step 5: Solve for x
    x = 90,423,867.83/10,358.57
  6. Step 6: Final answer
    x = 8,729.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.