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Finding the Fourth Proportional to 10,898.81, 16,310.88 and 7,570.81

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Solution

The fourth proportional to 10,898.81, 16,310.88 and 7,570.81 is: 11,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.81 : 16,310.88 = 7,570.81 : x
  2. Step 2: Convert to fraction form
    10,898.81/16,310.88 = 7,570.81/x
  3. Step 3: Cross multiply
    10,898.81x = 16,310.88 × 7,570.81
  4. Step 4: Simplify right side
    10,898.81x = 123,486,573.41
  5. Step 5: Solve for x
    x = 123,486,573.41/10,898.81
  6. Step 6: Final answer
    x = 11,330.28

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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.