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Finding the Fourth Proportional to 7,715.34, 11,574.21 and 2,520

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Solution

The fourth proportional to 7,715.34, 11,574.21 and 2,520 is: 3,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.34 : 11,574.21 = 2,520 : x
  2. Step 2: Convert to fraction form
    7,715.34/11,574.21 = 2,520/x
  3. Step 3: Cross multiply
    7,715.34x = 11,574.21 × 2,520
  4. Step 4: Simplify right side
    7,715.34x = 29,167,009.20
  5. Step 5: Solve for x
    x = 29,167,009.20/7,715.34
  6. Step 6: Final answer
    x = 3,780.39

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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.