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Finding the Fourth Proportional to 10,794.48, 14,902.83 and 7,807.20

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Solution

The fourth proportional to 10,794.48, 14,902.83 and 7,807.20 is: 10,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.48 : 14,902.83 = 7,807.20 : x
  2. Step 2: Convert to fraction form
    10,794.48/14,902.83 = 7,807.20/x
  3. Step 3: Cross multiply
    10,794.48x = 14,902.83 × 7,807.20
  4. Step 4: Simplify right side
    10,794.48x = 116,349,374.38
  5. Step 5: Solve for x
    x = 116,349,374.38/10,794.48
  6. Step 6: Final answer
    x = 10,778.60

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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.