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Finding the Fourth Proportional to 7,702.07, 11,553.10 and 4,417.25

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Solution

The fourth proportional to 7,702.07, 11,553.10 and 4,417.25 is: 6,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.07 : 11,553.10 = 4,417.25 : x
  2. Step 2: Convert to fraction form
    7,702.07/11,553.10 = 4,417.25/x
  3. Step 3: Cross multiply
    7,702.07x = 11,553.10 × 4,417.25
  4. Step 4: Simplify right side
    7,702.07x = 51,032,862.17
  5. Step 5: Solve for x
    x = 51,032,862.17/7,702.07
  6. Step 6: Final answer
    x = 6,625.87

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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.