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Finding the Fourth Proportional to 10,038.81, 15,037.74 and 4,757.79

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Solution

The fourth proportional to 10,038.81, 15,037.74 and 4,757.79 is: 7,126.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.81 : 15,037.74 = 4,757.79 : x
  2. Step 2: Convert to fraction form
    10,038.81/15,037.74 = 4,757.79/x
  3. Step 3: Cross multiply
    10,038.81x = 15,037.74 × 4,757.79
  4. Step 4: Simplify right side
    10,038.81x = 71,546,408.99
  5. Step 5: Solve for x
    x = 71,546,408.99/10,038.81
  6. Step 6: Final answer
    x = 7,126.98

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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.