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Finding the Fourth Proportional to 6,735.60, 10,103.40 and 5,666.40

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Solution

The fourth proportional to 6,735.60, 10,103.40 and 5,666.40 is: 8,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.60 : 10,103.40 = 5,666.40 : x
  2. Step 2: Convert to fraction form
    6,735.60/10,103.40 = 5,666.40/x
  3. Step 3: Cross multiply
    6,735.60x = 10,103.40 × 5,666.40
  4. Step 4: Simplify right side
    6,735.60x = 57,249,905.76
  5. Step 5: Solve for x
    x = 57,249,905.76/6,735.60
  6. Step 6: Final answer
    x = 8,499.60

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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.