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Finding the Fourth Proportional to 8,345.28, 11,512 and 5,160.36

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Solution

The fourth proportional to 8,345.28, 11,512 and 5,160.36 is: 7,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.28 : 11,512 = 5,160.36 : x
  2. Step 2: Convert to fraction form
    8,345.28/11,512 = 5,160.36/x
  3. Step 3: Cross multiply
    8,345.28x = 11,512 × 5,160.36
  4. Step 4: Simplify right side
    8,345.28x = 59,406,064.32
  5. Step 5: Solve for x
    x = 59,406,064.32/8,345.28
  6. Step 6: Final answer
    x = 7,118.52

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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.