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Finding the Fourth Proportional to 7,506.37, 10,357.37 and 4,710.61

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Solution

The fourth proportional to 7,506.37, 10,357.37 and 4,710.61 is: 6,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.37 : 10,357.37 = 4,710.61 : x
  2. Step 2: Convert to fraction form
    7,506.37/10,357.37 = 4,710.61/x
  3. Step 3: Cross multiply
    7,506.37x = 10,357.37 × 4,710.61
  4. Step 4: Simplify right side
    7,506.37x = 48,789,507.14
  5. Step 5: Solve for x
    x = 48,789,507.14/7,506.37
  6. Step 6: Final answer
    x = 6,499.75

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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.