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Finding the Fourth Proportional to 7,807.26, 10,774.08 and 4,270.53

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Solution

The fourth proportional to 7,807.26, 10,774.08 and 4,270.53 is: 5,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.26 : 10,774.08 = 4,270.53 : x
  2. Step 2: Convert to fraction form
    7,807.26/10,774.08 = 4,270.53/x
  3. Step 3: Cross multiply
    7,807.26x = 10,774.08 × 4,270.53
  4. Step 4: Simplify right side
    7,807.26x = 46,011,031.86
  5. Step 5: Solve for x
    x = 46,011,031.86/7,807.26
  6. Step 6: Final answer
    x = 5,893.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.