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Finding the Fourth Proportional to 10,665.80, 15,905.38 and 10,083.50

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Solution

The fourth proportional to 10,665.80, 15,905.38 and 10,083.50 is: 15,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.80 : 15,905.38 = 10,083.50 : x
  2. Step 2: Convert to fraction form
    10,665.80/15,905.38 = 10,083.50/x
  3. Step 3: Cross multiply
    10,665.80x = 15,905.38 × 10,083.50
  4. Step 4: Simplify right side
    10,665.80x = 160,381,899.23
  5. Step 5: Solve for x
    x = 160,381,899.23/10,665.80
  6. Step 6: Final answer
    x = 15,037.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.