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Finding the Fourth Proportional to 6,886.12, 10,256.29 and 6,852.56

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Solution

The fourth proportional to 6,886.12, 10,256.29 and 6,852.56 is: 10,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.12 : 10,256.29 = 6,852.56 : x
  2. Step 2: Convert to fraction form
    6,886.12/10,256.29 = 6,852.56/x
  3. Step 3: Cross multiply
    6,886.12x = 10,256.29 × 6,852.56
  4. Step 4: Simplify right side
    6,886.12x = 70,281,842.60
  5. Step 5: Solve for x
    x = 70,281,842.60/6,886.12
  6. Step 6: Final answer
    x = 10,206.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.