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Finding the Fourth Proportional to 10,635.46, 14,669.31 and 7,803.70

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Solution

The fourth proportional to 10,635.46, 14,669.31 and 7,803.70 is: 10,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.46 : 14,669.31 = 7,803.70 : x
  2. Step 2: Convert to fraction form
    10,635.46/14,669.31 = 7,803.70/x
  3. Step 3: Cross multiply
    10,635.46x = 14,669.31 × 7,803.70
  4. Step 4: Simplify right side
    10,635.46x = 114,474,894.45
  5. Step 5: Solve for x
    x = 114,474,894.45/10,635.46
  6. Step 6: Final answer
    x = 10,763.51

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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.