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Finding the Fourth Proportional to 10,852.17, 16,277.19 and 7,364.58

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Solution

The fourth proportional to 10,852.17, 16,277.19 and 7,364.58 is: 11,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.17 : 16,277.19 = 7,364.58 : x
  2. Step 2: Convert to fraction form
    10,852.17/16,277.19 = 7,364.58/x
  3. Step 3: Cross multiply
    10,852.17x = 16,277.19 × 7,364.58
  4. Step 4: Simplify right side
    10,852.17x = 119,874,667.93
  5. Step 5: Solve for x
    x = 119,874,667.93/10,852.17
  6. Step 6: Final answer
    x = 11,046.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.