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Finding the Fourth Proportional to 7,795.36, 10,758.18 and 4,651.48

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Solution

The fourth proportional to 7,795.36, 10,758.18 and 4,651.48 is: 6,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.36 : 10,758.18 = 4,651.48 : x
  2. Step 2: Convert to fraction form
    7,795.36/10,758.18 = 4,651.48/x
  3. Step 3: Cross multiply
    7,795.36x = 10,758.18 × 4,651.48
  4. Step 4: Simplify right side
    7,795.36x = 50,041,459.11
  5. Step 5: Solve for x
    x = 50,041,459.11/7,795.36
  6. Step 6: Final answer
    x = 6,419.39

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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.