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Finding the Fourth Proportional to 7,053.24, 9,727.86 and 4,535.64

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Solution

The fourth proportional to 7,053.24, 9,727.86 and 4,535.64 is: 6,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.24 : 9,727.86 = 4,535.64 : x
  2. Step 2: Convert to fraction form
    7,053.24/9,727.86 = 4,535.64/x
  3. Step 3: Cross multiply
    7,053.24x = 9,727.86 × 4,535.64
  4. Step 4: Simplify right side
    7,053.24x = 44,122,070.93
  5. Step 5: Solve for x
    x = 44,122,070.93/7,053.24
  6. Step 6: Final answer
    x = 6,255.57

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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.