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Finding the Fourth Proportional to 15,751, 23,626.52 and 4,807

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Solution

The fourth proportional to 15,751, 23,626.52 and 4,807 is: 7,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751 : 23,626.52 = 4,807 : x
  2. Step 2: Convert to fraction form
    15,751/23,626.52 = 4,807/x
  3. Step 3: Cross multiply
    15,751x = 23,626.52 × 4,807
  4. Step 4: Simplify right side
    15,751x = 113,572,681.64
  5. Step 5: Solve for x
    x = 113,572,681.64/15,751
  6. Step 6: Final answer
    x = 7,210.51

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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.