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Finding the Fourth Proportional to 7,648.98, 10,545.21 and 7,483.38

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Solution

The fourth proportional to 7,648.98, 10,545.21 and 7,483.38 is: 10,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.98 : 10,545.21 = 7,483.38 : x
  2. Step 2: Convert to fraction form
    7,648.98/10,545.21 = 7,483.38/x
  3. Step 3: Cross multiply
    7,648.98x = 10,545.21 × 7,483.38
  4. Step 4: Simplify right side
    7,648.98x = 78,913,813.61
  5. Step 5: Solve for x
    x = 78,913,813.61/7,648.98
  6. Step 6: Final answer
    x = 10,316.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.