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Finding the Fourth Proportional to 10,603.02, 15,894.12 and 5,054.88

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Solution

The fourth proportional to 10,603.02, 15,894.12 and 5,054.88 is: 7,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.02 : 15,894.12 = 5,054.88 : x
  2. Step 2: Convert to fraction form
    10,603.02/15,894.12 = 5,054.88/x
  3. Step 3: Cross multiply
    10,603.02x = 15,894.12 × 5,054.88
  4. Step 4: Simplify right side
    10,603.02x = 80,342,869.31
  5. Step 5: Solve for x
    x = 80,342,869.31/10,603.02
  6. Step 6: Final answer
    x = 7,577.36

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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.