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Finding the Fourth Proportional to 7,570.64, 11,341.82 and 5,485.53

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Solution

The fourth proportional to 7,570.64, 11,341.82 and 5,485.53 is: 8,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.64 : 11,341.82 = 5,485.53 : x
  2. Step 2: Convert to fraction form
    7,570.64/11,341.82 = 5,485.53/x
  3. Step 3: Cross multiply
    7,570.64x = 11,341.82 × 5,485.53
  4. Step 4: Simplify right side
    7,570.64x = 62,215,866.44
  5. Step 5: Solve for x
    x = 62,215,866.44/7,570.64
  6. Step 6: Final answer
    x = 8,218.05

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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.