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Finding the Fourth Proportional to 10,297.79, 14,210.81 and 5,582.01

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Solution

The fourth proportional to 10,297.79, 14,210.81 and 5,582.01 is: 7,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.79 : 14,210.81 = 5,582.01 : x
  2. Step 2: Convert to fraction form
    10,297.79/14,210.81 = 5,582.01/x
  3. Step 3: Cross multiply
    10,297.79x = 14,210.81 × 5,582.01
  4. Step 4: Simplify right side
    10,297.79x = 79,324,855.62
  5. Step 5: Solve for x
    x = 79,324,855.62/10,297.79
  6. Step 6: Final answer
    x = 7,703.10

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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.