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Finding the Fourth Proportional to 7,507.38, 10,357.65 and 4,360.98

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Solution

The fourth proportional to 7,507.38, 10,357.65 and 4,360.98 is: 6,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.38 : 10,357.65 = 4,360.98 : x
  2. Step 2: Convert to fraction form
    7,507.38/10,357.65 = 4,360.98/x
  3. Step 3: Cross multiply
    7,507.38x = 10,357.65 × 4,360.98
  4. Step 4: Simplify right side
    7,507.38x = 45,169,504.50
  5. Step 5: Solve for x
    x = 45,169,504.50/7,507.38
  6. Step 6: Final answer
    x = 6,016.68

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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.