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Finding the Fourth Proportional to 7,563.83, 10,434.80 and 4,726.26

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Solution

The fourth proportional to 7,563.83, 10,434.80 and 4,726.26 is: 6,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.83 : 10,434.80 = 4,726.26 : x
  2. Step 2: Convert to fraction form
    7,563.83/10,434.80 = 4,726.26/x
  3. Step 3: Cross multiply
    7,563.83x = 10,434.80 × 4,726.26
  4. Step 4: Simplify right side
    7,563.83x = 49,317,554.22
  5. Step 5: Solve for x
    x = 49,317,554.22/7,563.83
  6. Step 6: Final answer
    x = 6,520.19

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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.