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Finding the Fourth Proportional to 10,825.92, 14,948.32 and 7,050.88

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Solution

The fourth proportional to 10,825.92, 14,948.32 and 7,050.88 is: 9,735.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.92 : 14,948.32 = 7,050.88 : x
  2. Step 2: Convert to fraction form
    10,825.92/14,948.32 = 7,050.88/x
  3. Step 3: Cross multiply
    10,825.92x = 14,948.32 × 7,050.88
  4. Step 4: Simplify right side
    10,825.92x = 105,398,810.52
  5. Step 5: Solve for x
    x = 105,398,810.52/10,825.92
  6. Step 6: Final answer
    x = 9,735.78

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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.