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Finding the Fourth Proportional to 7,509.16, 10,357.90 and 5,593.38

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Solution

The fourth proportional to 7,509.16, 10,357.90 and 5,593.38 is: 7,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.16 : 10,357.90 = 5,593.38 : x
  2. Step 2: Convert to fraction form
    7,509.16/10,357.90 = 5,593.38/x
  3. Step 3: Cross multiply
    7,509.16x = 10,357.90 × 5,593.38
  4. Step 4: Simplify right side
    7,509.16x = 57,935,670.70
  5. Step 5: Solve for x
    x = 57,935,670.70/7,509.16
  6. Step 6: Final answer
    x = 7,715.33

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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.