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Finding the Fourth Proportional to 10,907.84, 16,364.40 and 3,513

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Solution

The fourth proportional to 10,907.84, 16,364.40 and 3,513 is: 5,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.84 : 16,364.40 = 3,513 : x
  2. Step 2: Convert to fraction form
    10,907.84/16,364.40 = 3,513/x
  3. Step 3: Cross multiply
    10,907.84x = 16,364.40 × 3,513
  4. Step 4: Simplify right side
    10,907.84x = 57,488,137.20
  5. Step 5: Solve for x
    x = 57,488,137.20/10,907.84
  6. Step 6: Final answer
    x = 5,270.35

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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.