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Finding the Fourth Proportional to 10,297.68, 14,210.70 and 5,581.98

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Solution

The fourth proportional to 10,297.68, 14,210.70 and 5,581.98 is: 7,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.68 : 14,210.70 = 5,581.98 : x
  2. Step 2: Convert to fraction form
    10,297.68/14,210.70 = 5,581.98/x
  3. Step 3: Cross multiply
    10,297.68x = 14,210.70 × 5,581.98
  4. Step 4: Simplify right side
    10,297.68x = 79,323,843.19
  5. Step 5: Solve for x
    x = 79,323,843.19/10,297.68
  6. Step 6: Final answer
    x = 7,703.08

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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.