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Finding the Fourth Proportional to 7,715.49, 11,570.84 and 2,784.50

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Solution

The fourth proportional to 7,715.49, 11,570.84 and 2,784.50 is: 4,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.49 : 11,570.84 = 2,784.50 : x
  2. Step 2: Convert to fraction form
    7,715.49/11,570.84 = 2,784.50/x
  3. Step 3: Cross multiply
    7,715.49x = 11,570.84 × 2,784.50
  4. Step 4: Simplify right side
    7,715.49x = 32,219,003.98
  5. Step 5: Solve for x
    x = 32,219,003.98/7,715.49
  6. Step 6: Final answer
    x = 4,175.89

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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.