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Finding the Fourth Proportional to 10,515.53, 14,511.53 and 5,800.25

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Solution

The fourth proportional to 10,515.53, 14,511.53 and 5,800.25 is: 8,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.53 : 14,511.53 = 5,800.25 : x
  2. Step 2: Convert to fraction form
    10,515.53/14,511.53 = 5,800.25/x
  3. Step 3: Cross multiply
    10,515.53x = 14,511.53 × 5,800.25
  4. Step 4: Simplify right side
    10,515.53x = 84,170,443.83
  5. Step 5: Solve for x
    x = 84,170,443.83/10,515.53
  6. Step 6: Final answer
    x = 8,004.40

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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.