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Finding the Fourth Proportional to 7,656.26, 10,565.56 and 4,299

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Solution

The fourth proportional to 7,656.26, 10,565.56 and 4,299 is: 5,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.26 : 10,565.56 = 4,299 : x
  2. Step 2: Convert to fraction form
    7,656.26/10,565.56 = 4,299/x
  3. Step 3: Cross multiply
    7,656.26x = 10,565.56 × 4,299
  4. Step 4: Simplify right side
    7,656.26x = 45,421,342.44
  5. Step 5: Solve for x
    x = 45,421,342.44/7,656.26
  6. Step 6: Final answer
    x = 5,932.58

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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.