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Finding the Fourth Proportional to 10,852.74, 14,979.24 and 7,069.32

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Solution

The fourth proportional to 10,852.74, 14,979.24 and 7,069.32 is: 9,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.74 : 14,979.24 = 7,069.32 : x
  2. Step 2: Convert to fraction form
    10,852.74/14,979.24 = 7,069.32/x
  3. Step 3: Cross multiply
    10,852.74x = 14,979.24 × 7,069.32
  4. Step 4: Simplify right side
    10,852.74x = 105,893,040.92
  5. Step 5: Solve for x
    x = 105,893,040.92/10,852.74
  6. Step 6: Final answer
    x = 9,757.26

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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.