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Finding the Fourth Proportional to 12,775.84, 17,630.52 and 7,110.50

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Solution

The fourth proportional to 12,775.84, 17,630.52 and 7,110.50 is: 9,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.84 : 17,630.52 = 7,110.50 : x
  2. Step 2: Convert to fraction form
    12,775.84/17,630.52 = 7,110.50/x
  3. Step 3: Cross multiply
    12,775.84x = 17,630.52 × 7,110.50
  4. Step 4: Simplify right side
    12,775.84x = 125,361,884.00
  5. Step 5: Solve for x
    x = 125,361,884.00/12,775.84
  6. Step 6: Final answer
    x = 9,812.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.