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Finding the Fourth Proportional to 7,225.53, 9,975.83 and 5,543.75

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Solution

The fourth proportional to 7,225.53, 9,975.83 and 5,543.75 is: 7,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.53 : 9,975.83 = 5,543.75 : x
  2. Step 2: Convert to fraction form
    7,225.53/9,975.83 = 5,543.75/x
  3. Step 3: Cross multiply
    7,225.53x = 9,975.83 × 5,543.75
  4. Step 4: Simplify right side
    7,225.53x = 55,303,429.96
  5. Step 5: Solve for x
    x = 55,303,429.96/7,225.53
  6. Step 6: Final answer
    x = 7,653.89

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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.