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Finding the Fourth Proportional to 10,830.22, 14,932.28 and 8,949.40

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Solution

The fourth proportional to 10,830.22, 14,932.28 and 8,949.40 is: 12,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.22 : 14,932.28 = 8,949.40 : x
  2. Step 2: Convert to fraction form
    10,830.22/14,932.28 = 8,949.40/x
  3. Step 3: Cross multiply
    10,830.22x = 14,932.28 × 8,949.40
  4. Step 4: Simplify right side
    10,830.22x = 133,634,946.63
  5. Step 5: Solve for x
    x = 133,634,946.63/10,830.22
  6. Step 6: Final answer
    x = 12,339.08

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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.