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Finding the Fourth Proportional to 10,603.08, 15,874.38 and 8,415

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Solution

The fourth proportional to 10,603.08, 15,874.38 and 8,415 is: 12,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.08 : 15,874.38 = 8,415 : x
  2. Step 2: Convert to fraction form
    10,603.08/15,874.38 = 8,415/x
  3. Step 3: Cross multiply
    10,603.08x = 15,874.38 × 8,415
  4. Step 4: Simplify right side
    10,603.08x = 133,582,907.70
  5. Step 5: Solve for x
    x = 133,582,907.70/10,603.08
  6. Step 6: Final answer
    x = 12,598.50

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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.