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Finding the Fourth Proportional to 7,641.34, 10,545.05 and 4,456.82

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Solution

The fourth proportional to 7,641.34, 10,545.05 and 4,456.82 is: 6,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.34 : 10,545.05 = 4,456.82 : x
  2. Step 2: Convert to fraction form
    7,641.34/10,545.05 = 4,456.82/x
  3. Step 3: Cross multiply
    7,641.34x = 10,545.05 × 4,456.82
  4. Step 4: Simplify right side
    7,641.34x = 46,997,427.25
  5. Step 5: Solve for x
    x = 46,997,427.25/7,641.34
  6. Step 6: Final answer
    x = 6,150.42

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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.