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Finding the Fourth Proportional to 10,303.29, 14,230.35 and 6,782.22

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Solution

The fourth proportional to 10,303.29, 14,230.35 and 6,782.22 is: 9,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.29 : 14,230.35 = 6,782.22 : x
  2. Step 2: Convert to fraction form
    10,303.29/14,230.35 = 6,782.22/x
  3. Step 3: Cross multiply
    10,303.29x = 14,230.35 × 6,782.22
  4. Step 4: Simplify right side
    10,303.29x = 96,513,364.38
  5. Step 5: Solve for x
    x = 96,513,364.38/10,303.29
  6. Step 6: Final answer
    x = 9,367.24

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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.