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Finding the Fourth Proportional to 7,570.66, 10,445.94 and 4,426.24

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Solution

The fourth proportional to 7,570.66, 10,445.94 and 4,426.24 is: 6,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.66 : 10,445.94 = 4,426.24 : x
  2. Step 2: Convert to fraction form
    7,570.66/10,445.94 = 4,426.24/x
  3. Step 3: Cross multiply
    7,570.66x = 10,445.94 × 4,426.24
  4. Step 4: Simplify right side
    7,570.66x = 46,236,237.47
  5. Step 5: Solve for x
    x = 46,236,237.47/7,570.66
  6. Step 6: Final answer
    x = 6,107.29

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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.