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Finding the Fourth Proportional to 11,202.10, 16,803.15 and 7,746.10

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Solution

The fourth proportional to 11,202.10, 16,803.15 and 7,746.10 is: 11,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.10 : 16,803.15 = 7,746.10 : x
  2. Step 2: Convert to fraction form
    11,202.10/16,803.15 = 7,746.10/x
  3. Step 3: Cross multiply
    11,202.10x = 16,803.15 × 7,746.10
  4. Step 4: Simplify right side
    11,202.10x = 130,158,880.22
  5. Step 5: Solve for x
    x = 130,158,880.22/11,202.10
  6. Step 6: Final answer
    x = 11,619.15

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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.