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Finding the Fourth Proportional to 8,303.30, 11,424.22 and 6,302.20

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Solution

The fourth proportional to 8,303.30, 11,424.22 and 6,302.20 is: 8,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.30 : 11,424.22 = 6,302.20 : x
  2. Step 2: Convert to fraction form
    8,303.30/11,424.22 = 6,302.20/x
  3. Step 3: Cross multiply
    8,303.30x = 11,424.22 × 6,302.20
  4. Step 4: Simplify right side
    8,303.30x = 71,997,719.28
  5. Step 5: Solve for x
    x = 71,997,719.28/8,303.30
  6. Step 6: Final answer
    x = 8,670.98

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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.