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Finding the Fourth Proportional to 11,720.16, 16,171.60 and 7,946.40

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Solution

The fourth proportional to 11,720.16, 16,171.60 and 7,946.40 is: 10,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.16 : 16,171.60 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    11,720.16/16,171.60 = 7,946.40/x
  3. Step 3: Cross multiply
    11,720.16x = 16,171.60 × 7,946.40
  4. Step 4: Simplify right side
    11,720.16x = 128,506,002.24
  5. Step 5: Solve for x
    x = 128,506,002.24/11,720.16
  6. Step 6: Final answer
    x = 10,964.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.