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Finding the Fourth Proportional to 10,021.77, 13,821.59 and 7,509.81

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Solution

The fourth proportional to 10,021.77, 13,821.59 and 7,509.81 is: 10,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.77 : 13,821.59 = 7,509.81 : x
  2. Step 2: Convert to fraction form
    10,021.77/13,821.59 = 7,509.81/x
  3. Step 3: Cross multiply
    10,021.77x = 13,821.59 × 7,509.81
  4. Step 4: Simplify right side
    10,021.77x = 103,797,477.25
  5. Step 5: Solve for x
    x = 103,797,477.25/10,021.77
  6. Step 6: Final answer
    x = 10,357.20

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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.