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Finding the Fourth Proportional to 7,570.26, 11,341.08 and 4,285.71

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Solution

The fourth proportional to 7,570.26, 11,341.08 and 4,285.71 is: 6,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.26 : 11,341.08 = 4,285.71 : x
  2. Step 2: Convert to fraction form
    7,570.26/11,341.08 = 4,285.71/x
  3. Step 3: Cross multiply
    7,570.26x = 11,341.08 × 4,285.71
  4. Step 4: Simplify right side
    7,570.26x = 48,604,579.97
  5. Step 5: Solve for x
    x = 48,604,579.97/7,570.26
  6. Step 6: Final answer
    x = 6,420.46

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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.