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Finding the Fourth Proportional to 10,898.42, 16,353.02 and 5,054.00

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Solution

The fourth proportional to 10,898.42, 16,353.02 and 5,054.00 is: 7,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.42 : 16,353.02 = 5,054.00 : x
  2. Step 2: Convert to fraction form
    10,898.42/16,353.02 = 5,054.00/x
  3. Step 3: Cross multiply
    10,898.42x = 16,353.02 × 5,054.00
  4. Step 4: Simplify right side
    10,898.42x = 82,648,093.95
  5. Step 5: Solve for x
    x = 82,648,093.95/10,898.42
  6. Step 6: Final answer
    x = 7,583.50

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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.