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Finding the Fourth Proportional to 7,072.68, 10,599.80 and 2,907.93

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Solution

The fourth proportional to 7,072.68, 10,599.80 and 2,907.93 is: 4,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.68 : 10,599.80 = 2,907.93 : x
  2. Step 2: Convert to fraction form
    7,072.68/10,599.80 = 2,907.93/x
  3. Step 3: Cross multiply
    7,072.68x = 10,599.80 × 2,907.93
  4. Step 4: Simplify right side
    7,072.68x = 30,823,461.87
  5. Step 5: Solve for x
    x = 30,823,461.87/7,072.68
  6. Step 6: Final answer
    x = 4,358.10

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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.