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Finding the Fourth Proportional to 8,442.54, 11,646.60 and 5,460.96

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Solution

The fourth proportional to 8,442.54, 11,646.60 and 5,460.96 is: 7,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.54 : 11,646.60 = 5,460.96 : x
  2. Step 2: Convert to fraction form
    8,442.54/11,646.60 = 5,460.96/x
  3. Step 3: Cross multiply
    8,442.54x = 11,646.60 × 5,460.96
  4. Step 4: Simplify right side
    8,442.54x = 63,601,616.74
  5. Step 5: Solve for x
    x = 63,601,616.74/8,442.54
  6. Step 6: Final answer
    x = 7,533.47

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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.