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Finding the Fourth Proportional to 10,584.28, 14,606.76 and 7,045.12

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Solution

The fourth proportional to 10,584.28, 14,606.76 and 7,045.12 is: 9,722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.28 : 14,606.76 = 7,045.12 : x
  2. Step 2: Convert to fraction form
    10,584.28/14,606.76 = 7,045.12/x
  3. Step 3: Cross multiply
    10,584.28x = 14,606.76 × 7,045.12
  4. Step 4: Simplify right side
    10,584.28x = 102,906,377.01
  5. Step 5: Solve for x
    x = 102,906,377.01/10,584.28
  6. Step 6: Final answer
    x = 9,722.57

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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.