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Finding the Fourth Proportional to 8,585.98, 12,907.68 and 6,852.76

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Solution

The fourth proportional to 8,585.98, 12,907.68 and 6,852.76 is: 10,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.98 : 12,907.68 = 6,852.76 : x
  2. Step 2: Convert to fraction form
    8,585.98/12,907.68 = 6,852.76/x
  3. Step 3: Cross multiply
    8,585.98x = 12,907.68 × 6,852.76
  4. Step 4: Simplify right side
    8,585.98x = 88,453,233.20
  5. Step 5: Solve for x
    x = 88,453,233.20/8,585.98
  6. Step 6: Final answer
    x = 10,302.05

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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.