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Finding the Fourth Proportional to 6,852.98, 10,291.36 and 6,541.34

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Solution

The fourth proportional to 6,852.98, 10,291.36 and 6,541.34 is: 9,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.98 : 10,291.36 = 6,541.34 : x
  2. Step 2: Convert to fraction form
    6,852.98/10,291.36 = 6,541.34/x
  3. Step 3: Cross multiply
    6,852.98x = 10,291.36 × 6,541.34
  4. Step 4: Simplify right side
    6,852.98x = 67,319,284.82
  5. Step 5: Solve for x
    x = 67,319,284.82/6,852.98
  6. Step 6: Final answer
    x = 9,823.36

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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.