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Finding the Fourth Proportional to 7,702.17, 11,553.19 and 1,858.75

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Solution

The fourth proportional to 7,702.17, 11,553.19 and 1,858.75 is: 2,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.17 : 11,553.19 = 1,858.75 : x
  2. Step 2: Convert to fraction form
    7,702.17/11,553.19 = 1,858.75/x
  3. Step 3: Cross multiply
    7,702.17x = 11,553.19 × 1,858.75
  4. Step 4: Simplify right side
    7,702.17x = 21,474,491.91
  5. Step 5: Solve for x
    x = 21,474,491.91/7,702.17
  6. Step 6: Final answer
    x = 2,788.11

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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.