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Finding the Fourth Proportional to 8,295.54, 11,437.47 and 5,306.46

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Solution

The fourth proportional to 8,295.54, 11,437.47 and 5,306.46 is: 7,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.54 : 11,437.47 = 5,306.46 : x
  2. Step 2: Convert to fraction form
    8,295.54/11,437.47 = 5,306.46/x
  3. Step 3: Cross multiply
    8,295.54x = 11,437.47 × 5,306.46
  4. Step 4: Simplify right side
    8,295.54x = 60,692,477.06
  5. Step 5: Solve for x
    x = 60,692,477.06/8,295.54
  6. Step 6: Final answer
    x = 7,316.28

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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.