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Finding the Fourth Proportional to 6,580.32, 9,078.48 and 4,061.28

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Solution

The fourth proportional to 6,580.32, 9,078.48 and 4,061.28 is: 5,603.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.32 : 9,078.48 = 4,061.28 : x
  2. Step 2: Convert to fraction form
    6,580.32/9,078.48 = 4,061.28/x
  3. Step 3: Cross multiply
    6,580.32x = 9,078.48 × 4,061.28
  4. Step 4: Simplify right side
    6,580.32x = 36,870,249.25
  5. Step 5: Solve for x
    x = 36,870,249.25/6,580.32
  6. Step 6: Final answer
    x = 5,603.11

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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.