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Finding the Fourth Proportional to 10,894.83, 15,029.30 and 7,120.20

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Solution

The fourth proportional to 10,894.83, 15,029.30 and 7,120.20 is: 9,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.83 : 15,029.30 = 7,120.20 : x
  2. Step 2: Convert to fraction form
    10,894.83/15,029.30 = 7,120.20/x
  3. Step 3: Cross multiply
    10,894.83x = 15,029.30 × 7,120.20
  4. Step 4: Simplify right side
    10,894.83x = 107,011,655.97
  5. Step 5: Solve for x
    x = 107,011,655.97/10,894.83
  6. Step 6: Final answer
    x = 9,822.24

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