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Finding the Fourth Proportional to 10,852.53, 14,970.87 and 6,866.79

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Solution

The fourth proportional to 10,852.53, 14,970.87 and 6,866.79 is: 9,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.53 : 14,970.87 = 6,866.79 : x
  2. Step 2: Convert to fraction form
    10,852.53/14,970.87 = 6,866.79/x
  3. Step 3: Cross multiply
    10,852.53x = 14,970.87 × 6,866.79
  4. Step 4: Simplify right side
    10,852.53x = 102,801,820.41
  5. Step 5: Solve for x
    x = 102,801,820.41/10,852.53
  6. Step 6: Final answer
    x = 9,472.61

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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.