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Finding the Fourth Proportional to 7,355.75, 10,142.48 and 5,584.28

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Solution

The fourth proportional to 7,355.75, 10,142.48 and 5,584.28 is: 7,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.75 : 10,142.48 = 5,584.28 : x
  2. Step 2: Convert to fraction form
    7,355.75/10,142.48 = 5,584.28/x
  3. Step 3: Cross multiply
    7,355.75x = 10,142.48 × 5,584.28
  4. Step 4: Simplify right side
    7,355.75x = 56,638,411.46
  5. Step 5: Solve for x
    x = 56,638,411.46/7,355.75
  6. Step 6: Final answer
    x = 7,699.89

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