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Finding the Fourth Proportional to 10,078.86, 13,908.89 and 5,603.03

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Solution

The fourth proportional to 10,078.86, 13,908.89 and 5,603.03 is: 7,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.86 : 13,908.89 = 5,603.03 : x
  2. Step 2: Convert to fraction form
    10,078.86/13,908.89 = 5,603.03/x
  3. Step 3: Cross multiply
    10,078.86x = 13,908.89 × 5,603.03
  4. Step 4: Simplify right side
    10,078.86x = 77,931,830.38
  5. Step 5: Solve for x
    x = 77,931,830.38/10,078.86
  6. Step 6: Final answer
    x = 7,732.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.