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Finding the Fourth Proportional to 11,245.60, 16,868.40 and 7,746.40

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Solution

The fourth proportional to 11,245.60, 16,868.40 and 7,746.40 is: 11,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.60 : 16,868.40 = 7,746.40 : x
  2. Step 2: Convert to fraction form
    11,245.60/16,868.40 = 7,746.40/x
  3. Step 3: Cross multiply
    11,245.60x = 16,868.40 × 7,746.40
  4. Step 4: Simplify right side
    11,245.60x = 130,669,373.76
  5. Step 5: Solve for x
    x = 130,669,373.76/11,245.60
  6. Step 6: Final answer
    x = 11,619.60

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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.