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Finding the Fourth Proportional to 7,588.08, 10,491.12 and 5,825.52

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Solution

The fourth proportional to 7,588.08, 10,491.12 and 5,825.52 is: 8,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.08 : 10,491.12 = 5,825.52 : x
  2. Step 2: Convert to fraction form
    7,588.08/10,491.12 = 5,825.52/x
  3. Step 3: Cross multiply
    7,588.08x = 10,491.12 × 5,825.52
  4. Step 4: Simplify right side
    7,588.08x = 61,116,229.38
  5. Step 5: Solve for x
    x = 61,116,229.38/7,588.08
  6. Step 6: Final answer
    x = 8,054.24

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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.