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Finding the Fourth Proportional to 11,147.60, 16,721.40 and 4,570.40

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Solution

The fourth proportional to 11,147.60, 16,721.40 and 4,570.40 is: 6,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.60 : 16,721.40 = 4,570.40 : x
  2. Step 2: Convert to fraction form
    11,147.60/16,721.40 = 4,570.40/x
  3. Step 3: Cross multiply
    11,147.60x = 16,721.40 × 4,570.40
  4. Step 4: Simplify right side
    11,147.60x = 76,423,486.56
  5. Step 5: Solve for x
    x = 76,423,486.56/11,147.60
  6. Step 6: Final answer
    x = 6,855.60

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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.