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Finding the Fourth Proportional to 10,807.83, 14,905.76 and 7,029.18

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Solution

The fourth proportional to 10,807.83, 14,905.76 and 7,029.18 is: 9,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.83 : 14,905.76 = 7,029.18 : x
  2. Step 2: Convert to fraction form
    10,807.83/14,905.76 = 7,029.18/x
  3. Step 3: Cross multiply
    10,807.83x = 14,905.76 × 7,029.18
  4. Step 4: Simplify right side
    10,807.83x = 104,775,234.93
  5. Step 5: Solve for x
    x = 104,775,234.93/10,807.83
  6. Step 6: Final answer
    x = 9,694.38

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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.