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Finding the Fourth Proportional to 7,755.35, 10,702.40 and 4,218.57

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Solution

The fourth proportional to 7,755.35, 10,702.40 and 4,218.57 is: 5,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.35 : 10,702.40 = 4,218.57 : x
  2. Step 2: Convert to fraction form
    7,755.35/10,702.40 = 4,218.57/x
  3. Step 3: Cross multiply
    7,755.35x = 10,702.40 × 4,218.57
  4. Step 4: Simplify right side
    7,755.35x = 45,148,802.48
  5. Step 5: Solve for x
    x = 45,148,802.48/7,755.35
  6. Step 6: Final answer
    x = 5,821.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.