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Finding the Fourth Proportional to 7,867.60, 11,801.95 and 2,602.40

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Solution

The fourth proportional to 7,867.60, 11,801.95 and 2,602.40 is: 3,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.60 : 11,801.95 = 2,602.40 : x
  2. Step 2: Convert to fraction form
    7,867.60/11,801.95 = 2,602.40/x
  3. Step 3: Cross multiply
    7,867.60x = 11,801.95 × 2,602.40
  4. Step 4: Simplify right side
    7,867.60x = 30,713,329.16
  5. Step 5: Solve for x
    x = 30,713,329.16/7,867.60
  6. Step 6: Final answer
    x = 3,903.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.