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Finding the Fourth Proportional to 10,489.95, 14,476.49 and 5,710.28

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Solution

The fourth proportional to 10,489.95, 14,476.49 and 5,710.28 is: 7,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.95 : 14,476.49 = 5,710.28 : x
  2. Step 2: Convert to fraction form
    10,489.95/14,476.49 = 5,710.28/x
  3. Step 3: Cross multiply
    10,489.95x = 14,476.49 × 5,710.28
  4. Step 4: Simplify right side
    10,489.95x = 82,664,889.76
  5. Step 5: Solve for x
    x = 82,664,889.76/10,489.95
  6. Step 6: Final answer
    x = 7,880.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.