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Finding the Fourth Proportional to 10,784.52, 14,838.12 and 8,422.56

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Solution

The fourth proportional to 10,784.52, 14,838.12 and 8,422.56 is: 11,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.52 : 14,838.12 = 8,422.56 : x
  2. Step 2: Convert to fraction form
    10,784.52/14,838.12 = 8,422.56/x
  3. Step 3: Cross multiply
    10,784.52x = 14,838.12 × 8,422.56
  4. Step 4: Simplify right side
    10,784.52x = 124,974,955.99
  5. Step 5: Solve for x
    x = 124,974,955.99/10,784.52
  6. Step 6: Final answer
    x = 11,588.37

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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.