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Finding the Fourth Proportional to 10,297.95, 14,211.14 and 5,582.25

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Solution

The fourth proportional to 10,297.95, 14,211.14 and 5,582.25 is: 7,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.95 : 14,211.14 = 5,582.25 : x
  2. Step 2: Convert to fraction form
    10,297.95/14,211.14 = 5,582.25/x
  3. Step 3: Cross multiply
    10,297.95x = 14,211.14 × 5,582.25
  4. Step 4: Simplify right side
    10,297.95x = 79,330,136.27
  5. Step 5: Solve for x
    x = 79,330,136.27/10,297.95
  6. Step 6: Final answer
    x = 7,703.49

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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.