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Finding the Fourth Proportional to 8,646.37, 12,971.45 and 2,803.57

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Solution

The fourth proportional to 8,646.37, 12,971.45 and 2,803.57 is: 4,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.37 : 12,971.45 = 2,803.57 : x
  2. Step 2: Convert to fraction form
    8,646.37/12,971.45 = 2,803.57/x
  3. Step 3: Cross multiply
    8,646.37x = 12,971.45 × 2,803.57
  4. Step 4: Simplify right side
    8,646.37x = 36,366,368.08
  5. Step 5: Solve for x
    x = 36,366,368.08/8,646.37
  6. Step 6: Final answer
    x = 4,205.97

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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.