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Finding the Fourth Proportional to 13,100.51, 19,650.90 and 5,307.50

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Solution

The fourth proportional to 13,100.51, 19,650.90 and 5,307.50 is: 7,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.51 : 19,650.90 = 5,307.50 : x
  2. Step 2: Convert to fraction form
    13,100.51/19,650.90 = 5,307.50/x
  3. Step 3: Cross multiply
    13,100.51x = 19,650.90 × 5,307.50
  4. Step 4: Simplify right side
    13,100.51x = 104,297,151.75
  5. Step 5: Solve for x
    x = 104,297,151.75/13,100.51
  6. Step 6: Final answer
    x = 7,961.30

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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.