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Finding the Fourth Proportional to 7,357.98, 10,145.07 and 6,410.28

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Solution

The fourth proportional to 7,357.98, 10,145.07 and 6,410.28 is: 8,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.98 : 10,145.07 = 6,410.28 : x
  2. Step 2: Convert to fraction form
    7,357.98/10,145.07 = 6,410.28/x
  3. Step 3: Cross multiply
    7,357.98x = 10,145.07 × 6,410.28
  4. Step 4: Simplify right side
    7,357.98x = 65,032,739.32
  5. Step 5: Solve for x
    x = 65,032,739.32/7,357.98
  6. Step 6: Final answer
    x = 8,838.40

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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.