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Finding the Fourth Proportional to 10,297.72, 14,210.84 and 5,582

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Solution

The fourth proportional to 10,297.72, 14,210.84 and 5,582 is: 7,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.72 : 14,210.84 = 5,582 : x
  2. Step 2: Convert to fraction form
    10,297.72/14,210.84 = 5,582/x
  3. Step 3: Cross multiply
    10,297.72x = 14,210.84 × 5,582
  4. Step 4: Simplify right side
    10,297.72x = 79,324,908.88
  5. Step 5: Solve for x
    x = 79,324,908.88/10,297.72
  6. Step 6: Final answer
    x = 7,703.15

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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.