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Finding the Fourth Proportional to 10,039.14, 15,038.19 and 4,694.67

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Solution

The fourth proportional to 10,039.14, 15,038.19 and 4,694.67 is: 7,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.14 : 15,038.19 = 4,694.67 : x
  2. Step 2: Convert to fraction form
    10,039.14/15,038.19 = 4,694.67/x
  3. Step 3: Cross multiply
    10,039.14x = 15,038.19 × 4,694.67
  4. Step 4: Simplify right side
    10,039.14x = 70,599,339.45
  5. Step 5: Solve for x
    x = 70,599,339.45/10,039.14
  6. Step 6: Final answer
    x = 7,032.41

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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.