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Finding the Fourth Proportional to 7,545.60, 11,300.16 and 3,838.08

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Solution

The fourth proportional to 7,545.60, 11,300.16 and 3,838.08 is: 5,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.60 : 11,300.16 = 3,838.08 : x
  2. Step 2: Convert to fraction form
    7,545.60/11,300.16 = 3,838.08/x
  3. Step 3: Cross multiply
    7,545.60x = 11,300.16 × 3,838.08
  4. Step 4: Simplify right side
    7,545.60x = 43,370,918.09
  5. Step 5: Solve for x
    x = 43,370,918.09/7,545.60
  6. Step 6: Final answer
    x = 5,747.84

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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.