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Finding the Fourth Proportional to 10,437.84, 15,638.55 and 8,694.06

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Solution

The fourth proportional to 10,437.84, 15,638.55 and 8,694.06 is: 13,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.84 : 15,638.55 = 8,694.06 : x
  2. Step 2: Convert to fraction form
    10,437.84/15,638.55 = 8,694.06/x
  3. Step 3: Cross multiply
    10,437.84x = 15,638.55 × 8,694.06
  4. Step 4: Simplify right side
    10,437.84x = 135,962,492.01
  5. Step 5: Solve for x
    x = 135,962,492.01/10,437.84
  6. Step 6: Final answer
    x = 13,025.92

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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.