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Finding the Fourth Proportional to 10,737.63, 14,817.81 and 6,763.95

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Solution

The fourth proportional to 10,737.63, 14,817.81 and 6,763.95 is: 9,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.63 : 14,817.81 = 6,763.95 : x
  2. Step 2: Convert to fraction form
    10,737.63/14,817.81 = 6,763.95/x
  3. Step 3: Cross multiply
    10,737.63x = 14,817.81 × 6,763.95
  4. Step 4: Simplify right side
    10,737.63x = 100,226,925.95
  5. Step 5: Solve for x
    x = 100,226,925.95/10,737.63
  6. Step 6: Final answer
    x = 9,334.18

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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.