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Finding the Fourth Proportional to 8,313.47, 11,473.74 and 4,776.60

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Solution

The fourth proportional to 8,313.47, 11,473.74 and 4,776.60 is: 6,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.47 : 11,473.74 = 4,776.60 : x
  2. Step 2: Convert to fraction form
    8,313.47/11,473.74 = 4,776.60/x
  3. Step 3: Cross multiply
    8,313.47x = 11,473.74 × 4,776.60
  4. Step 4: Simplify right side
    8,313.47x = 54,805,442.60
  5. Step 5: Solve for x
    x = 54,805,442.60/8,313.47
  6. Step 6: Final answer
    x = 6,592.37

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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.