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Finding the Fourth Proportional to 10,322.36, 14,244.93 and 5,606.64

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Solution

The fourth proportional to 10,322.36, 14,244.93 and 5,606.64 is: 7,737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.36 : 14,244.93 = 5,606.64 : x
  2. Step 2: Convert to fraction form
    10,322.36/14,244.93 = 5,606.64/x
  3. Step 3: Cross multiply
    10,322.36x = 14,244.93 × 5,606.64
  4. Step 4: Simplify right side
    10,322.36x = 79,866,130.69
  5. Step 5: Solve for x
    x = 79,866,130.69/10,322.36
  6. Step 6: Final answer
    x = 7,737.20

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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.