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Finding the Fourth Proportional to 10,429.02, 14,395.07 and 5,955.21

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Solution

The fourth proportional to 10,429.02, 14,395.07 and 5,955.21 is: 8,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.02 : 14,395.07 = 5,955.21 : x
  2. Step 2: Convert to fraction form
    10,429.02/14,395.07 = 5,955.21/x
  3. Step 3: Cross multiply
    10,429.02x = 14,395.07 × 5,955.21
  4. Step 4: Simplify right side
    10,429.02x = 85,725,635.04
  5. Step 5: Solve for x
    x = 85,725,635.04/10,429.02
  6. Step 6: Final answer
    x = 8,219.91

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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.