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Finding the Fourth Proportional to 7,794.90, 10,756.62 and 4,811.02

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Solution

The fourth proportional to 7,794.90, 10,756.62 and 4,811.02 is: 6,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.90 : 10,756.62 = 4,811.02 : x
  2. Step 2: Convert to fraction form
    7,794.90/10,756.62 = 4,811.02/x
  3. Step 3: Cross multiply
    7,794.90x = 10,756.62 × 4,811.02
  4. Step 4: Simplify right side
    7,794.90x = 51,750,287.06
  5. Step 5: Solve for x
    x = 51,750,287.06/7,794.90
  6. Step 6: Final answer
    x = 6,638.99

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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.