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Finding the Fourth Proportional to 8,596.94, 12,886.40 and 3,602.16

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Solution

The fourth proportional to 8,596.94, 12,886.40 and 3,602.16 is: 5,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.94 : 12,886.40 = 3,602.16 : x
  2. Step 2: Convert to fraction form
    8,596.94/12,886.40 = 3,602.16/x
  3. Step 3: Cross multiply
    8,596.94x = 12,886.40 × 3,602.16
  4. Step 4: Simplify right side
    8,596.94x = 46,418,883.63
  5. Step 5: Solve for x
    x = 46,418,883.63/8,596.94
  6. Step 6: Final answer
    x = 5,399.47

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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.