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Finding the Fourth Proportional to 10,506.26, 15,755.06 and 4,658.77

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Solution

The fourth proportional to 10,506.26, 15,755.06 and 4,658.77 is: 6,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.26 : 15,755.06 = 4,658.77 : x
  2. Step 2: Convert to fraction form
    10,506.26/15,755.06 = 4,658.77/x
  3. Step 3: Cross multiply
    10,506.26x = 15,755.06 × 4,658.77
  4. Step 4: Simplify right side
    10,506.26x = 73,399,117.39
  5. Step 5: Solve for x
    x = 73,399,117.39/10,506.26
  6. Step 6: Final answer
    x = 6,986.23

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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.