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Finding the Fourth Proportional to 7,782.51, 10,736.80 and 4,793.16

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Solution

The fourth proportional to 7,782.51, 10,736.80 and 4,793.16 is: 6,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.51 : 10,736.80 = 4,793.16 : x
  2. Step 2: Convert to fraction form
    7,782.51/10,736.80 = 4,793.16/x
  3. Step 3: Cross multiply
    7,782.51x = 10,736.80 × 4,793.16
  4. Step 4: Simplify right side
    7,782.51x = 51,463,200.29
  5. Step 5: Solve for x
    x = 51,463,200.29/7,782.51
  6. Step 6: Final answer
    x = 6,612.67

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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.