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Finding the Fourth Proportional to 8,345.52, 11,513.88 and 5,200.56

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Solution

The fourth proportional to 8,345.52, 11,513.88 and 5,200.56 is: 7,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.52 : 11,513.88 = 5,200.56 : x
  2. Step 2: Convert to fraction form
    8,345.52/11,513.88 = 5,200.56/x
  3. Step 3: Cross multiply
    8,345.52x = 11,513.88 × 5,200.56
  4. Step 4: Simplify right side
    8,345.52x = 59,878,623.77
  5. Step 5: Solve for x
    x = 59,878,623.77/8,345.52
  6. Step 6: Final answer
    x = 7,174.94

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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.