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Finding the Fourth Proportional to 7,545.41, 10,412.46 and 4,188.21

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Solution

The fourth proportional to 7,545.41, 10,412.46 and 4,188.21 is: 5,779.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.41 : 10,412.46 = 4,188.21 : x
  2. Step 2: Convert to fraction form
    7,545.41/10,412.46 = 4,188.21/x
  3. Step 3: Cross multiply
    7,545.41x = 10,412.46 × 4,188.21
  4. Step 4: Simplify right side
    7,545.41x = 43,609,569.10
  5. Step 5: Solve for x
    x = 43,609,569.10/7,545.41
  6. Step 6: Final answer
    x = 5,779.62

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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.