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Finding the Fourth Proportional to 7,545.69, 10,411.94 and 4,188.53

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Solution

The fourth proportional to 7,545.69, 10,411.94 and 4,188.53 is: 5,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,545.69 : 10,411.94 = 4,188.53 : x
  2. Step 2: Convert to fraction form
    7,545.69/10,411.94 = 4,188.53/x
  3. Step 3: Cross multiply
    7,545.69x = 10,411.94 × 4,188.53
  4. Step 4: Simplify right side
    7,545.69x = 43,610,733.52
  5. Step 5: Solve for x
    x = 43,610,733.52/7,545.69
  6. Step 6: Final answer
    x = 5,779.56

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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.