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Finding the Fourth Proportional to 8,596.06, 12,894.08 and 2,356.10

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Solution

The fourth proportional to 8,596.06, 12,894.08 and 2,356.10 is: 3,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.06 : 12,894.08 = 2,356.10 : x
  2. Step 2: Convert to fraction form
    8,596.06/12,894.08 = 2,356.10/x
  3. Step 3: Cross multiply
    8,596.06x = 12,894.08 × 2,356.10
  4. Step 4: Simplify right side
    8,596.06x = 30,379,741.89
  5. Step 5: Solve for x
    x = 30,379,741.89/8,596.06
  6. Step 6: Final answer
    x = 3,534.15

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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.