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Finding the Fourth Proportional to 6,871.60, 10,281.40 and 4,567.60

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Solution

The fourth proportional to 6,871.60, 10,281.40 and 4,567.60 is: 6,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.60 : 10,281.40 = 4,567.60 : x
  2. Step 2: Convert to fraction form
    6,871.60/10,281.40 = 4,567.60/x
  3. Step 3: Cross multiply
    6,871.60x = 10,281.40 × 4,567.60
  4. Step 4: Simplify right side
    6,871.60x = 46,961,322.64
  5. Step 5: Solve for x
    x = 46,961,322.64/6,871.60
  6. Step 6: Final answer
    x = 6,834.12

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