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Finding the Fourth Proportional to 10,626.84, 14,685.30 and 7,969.68

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Solution

The fourth proportional to 10,626.84, 14,685.30 and 7,969.68 is: 11,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.84 : 14,685.30 = 7,969.68 : x
  2. Step 2: Convert to fraction form
    10,626.84/14,685.30 = 7,969.68/x
  3. Step 3: Cross multiply
    10,626.84x = 14,685.30 × 7,969.68
  4. Step 4: Simplify right side
    10,626.84x = 117,037,141.70
  5. Step 5: Solve for x
    x = 117,037,141.70/10,626.84
  6. Step 6: Final answer
    x = 11,013.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.