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Finding the Fourth Proportional to 10,297.70, 14,210.84 and 5,581.98

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Solution

The fourth proportional to 10,297.70, 14,210.84 and 5,581.98 is: 7,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.70 : 14,210.84 = 5,581.98 : x
  2. Step 2: Convert to fraction form
    10,297.70/14,210.84 = 5,581.98/x
  3. Step 3: Cross multiply
    10,297.70x = 14,210.84 × 5,581.98
  4. Step 4: Simplify right side
    10,297.70x = 79,324,624.66
  5. Step 5: Solve for x
    x = 79,324,624.66/10,297.70
  6. Step 6: Final answer
    x = 7,703.14

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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.