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Finding the Fourth Proportional to 7,715.10, 11,570.25 and 2,784.10

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Solution

The fourth proportional to 7,715.10, 11,570.25 and 2,784.10 is: 4,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.10 : 11,570.25 = 2,784.10 : x
  2. Step 2: Convert to fraction form
    7,715.10/11,570.25 = 2,784.10/x
  3. Step 3: Cross multiply
    7,715.10x = 11,570.25 × 2,784.10
  4. Step 4: Simplify right side
    7,715.10x = 32,212,733.03
  5. Step 5: Solve for x
    x = 32,212,733.03/7,715.10
  6. Step 6: Final answer
    x = 4,175.28

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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.