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Finding the Fourth Proportional to 10,828.25, 14,933.66 and 7,050

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Solution

The fourth proportional to 10,828.25, 14,933.66 and 7,050 is: 9,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.25 : 14,933.66 = 7,050 : x
  2. Step 2: Convert to fraction form
    10,828.25/14,933.66 = 7,050/x
  3. Step 3: Cross multiply
    10,828.25x = 14,933.66 × 7,050
  4. Step 4: Simplify right side
    10,828.25x = 105,282,267.75
  5. Step 5: Solve for x
    x = 105,282,267.75/10,828.25
  6. Step 6: Final answer
    x = 9,722.93

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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.