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Finding the Fourth Proportional to 10,028.14, 15,030.94 and 3,783.92

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Solution

The fourth proportional to 10,028.14, 15,030.94 and 3,783.92 is: 5,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.14 : 15,030.94 = 3,783.92 : x
  2. Step 2: Convert to fraction form
    10,028.14/15,030.94 = 3,783.92/x
  3. Step 3: Cross multiply
    10,028.14x = 15,030.94 × 3,783.92
  4. Step 4: Simplify right side
    10,028.14x = 56,875,780.41
  5. Step 5: Solve for x
    x = 56,875,780.41/10,028.14
  6. Step 6: Final answer
    x = 5,671.62

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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.