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Finding the Fourth Proportional to 10,531.19, 14,532.94 and 5,751.11

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Solution

The fourth proportional to 10,531.19, 14,532.94 and 5,751.11 is: 7,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.19 : 14,532.94 = 5,751.11 : x
  2. Step 2: Convert to fraction form
    10,531.19/14,532.94 = 5,751.11/x
  3. Step 3: Cross multiply
    10,531.19x = 14,532.94 × 5,751.11
  4. Step 4: Simplify right side
    10,531.19x = 83,580,435.14
  5. Step 5: Solve for x
    x = 83,580,435.14/10,531.19
  6. Step 6: Final answer
    x = 7,936.47

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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.