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Finding the Fourth Proportional to 7,507.40, 10,338.09 and 6,437.30

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Solution

The fourth proportional to 7,507.40, 10,338.09 and 6,437.30 is: 8,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.40 : 10,338.09 = 6,437.30 : x
  2. Step 2: Convert to fraction form
    7,507.40/10,338.09 = 6,437.30/x
  3. Step 3: Cross multiply
    7,507.40x = 10,338.09 × 6,437.30
  4. Step 4: Simplify right side
    7,507.40x = 66,549,386.76
  5. Step 5: Solve for x
    x = 66,549,386.76/7,507.40
  6. Step 6: Final answer
    x = 8,864.51

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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.