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Finding the Fourth Proportional to 10,823.12, 14,938.22 and 7,039.71

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Solution

The fourth proportional to 10,823.12, 14,938.22 and 7,039.71 is: 9,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.12 : 14,938.22 = 7,039.71 : x
  2. Step 2: Convert to fraction form
    10,823.12/14,938.22 = 7,039.71/x
  3. Step 3: Cross multiply
    10,823.12x = 14,938.22 × 7,039.71
  4. Step 4: Simplify right side
    10,823.12x = 105,160,754.32
  5. Step 5: Solve for x
    x = 105,160,754.32/10,823.12
  6. Step 6: Final answer
    x = 9,716.31

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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.