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Finding the Fourth Proportional to 10,426.46, 14,388.04 and 5,710.64

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Solution

The fourth proportional to 10,426.46, 14,388.04 and 5,710.64 is: 7,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.46 : 14,388.04 = 5,710.64 : x
  2. Step 2: Convert to fraction form
    10,426.46/14,388.04 = 5,710.64/x
  3. Step 3: Cross multiply
    10,426.46x = 14,388.04 × 5,710.64
  4. Step 4: Simplify right side
    10,426.46x = 82,164,916.75
  5. Step 5: Solve for x
    x = 82,164,916.75/10,426.46
  6. Step 6: Final answer
    x = 7,880.42

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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.