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Finding the Fourth Proportional to 10,041.14, 15,041.19 and 4,696.67

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Solution

The fourth proportional to 10,041.14, 15,041.19 and 4,696.67 is: 7,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.14 : 15,041.19 = 4,696.67 : x
  2. Step 2: Convert to fraction form
    10,041.14/15,041.19 = 4,696.67/x
  3. Step 3: Cross multiply
    10,041.14x = 15,041.19 × 4,696.67
  4. Step 4: Simplify right side
    10,041.14x = 70,643,505.84
  5. Step 5: Solve for x
    x = 70,643,505.84/10,041.14
  6. Step 6: Final answer
    x = 7,035.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.