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Finding the Fourth Proportional to 10,537.68, 14,545.10 and 6,556.80

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Solution

The fourth proportional to 10,537.68, 14,545.10 and 6,556.80 is: 9,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.68 : 14,545.10 = 6,556.80 : x
  2. Step 2: Convert to fraction form
    10,537.68/14,545.10 = 6,556.80/x
  3. Step 3: Cross multiply
    10,537.68x = 14,545.10 × 6,556.80
  4. Step 4: Simplify right side
    10,537.68x = 95,369,311.68
  5. Step 5: Solve for x
    x = 95,369,311.68/10,537.68
  6. Step 6: Final answer
    x = 9,050.31

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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.