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Finding the Fourth Proportional to 8,846.30, 12,209.63 and 5,072.00

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Solution

The fourth proportional to 8,846.30, 12,209.63 and 5,072.00 is: 7,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.30 : 12,209.63 = 5,072.00 : x
  2. Step 2: Convert to fraction form
    8,846.30/12,209.63 = 5,072.00/x
  3. Step 3: Cross multiply
    8,846.30x = 12,209.63 × 5,072.00
  4. Step 4: Simplify right side
    8,846.30x = 61,927,156.95
  5. Step 5: Solve for x
    x = 61,927,156.95/8,846.30
  6. Step 6: Final answer
    x = 7,000.34

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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.