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Finding the Fourth Proportional to 10,360.62, 14,297.76 and 5,644.98

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Solution

The fourth proportional to 10,360.62, 14,297.76 and 5,644.98 is: 7,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.62 : 14,297.76 = 5,644.98 : x
  2. Step 2: Convert to fraction form
    10,360.62/14,297.76 = 5,644.98/x
  3. Step 3: Cross multiply
    10,360.62x = 14,297.76 × 5,644.98
  4. Step 4: Simplify right side
    10,360.62x = 80,710,569.24
  5. Step 5: Solve for x
    x = 80,710,569.24/10,360.62
  6. Step 6: Final answer
    x = 7,790.13

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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.