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Finding the Fourth Proportional to 10,509.48, 14,504.11 and 7,852.28

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Solution

The fourth proportional to 10,509.48, 14,504.11 and 7,852.28 is: 10,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.48 : 14,504.11 = 7,852.28 : x
  2. Step 2: Convert to fraction form
    10,509.48/14,504.11 = 7,852.28/x
  3. Step 3: Cross multiply
    10,509.48x = 14,504.11 × 7,852.28
  4. Step 4: Simplify right side
    10,509.48x = 113,890,240.72
  5. Step 5: Solve for x
    x = 113,890,240.72/10,509.48
  6. Step 6: Final answer
    x = 10,836.91

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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.