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Finding the Fourth Proportional to 12,106.52, 16,707.06 and 7,074.28

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Solution

The fourth proportional to 12,106.52, 16,707.06 and 7,074.28 is: 9,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.52 : 16,707.06 = 7,074.28 : x
  2. Step 2: Convert to fraction form
    12,106.52/16,707.06 = 7,074.28/x
  3. Step 3: Cross multiply
    12,106.52x = 16,707.06 × 7,074.28
  4. Step 4: Simplify right side
    12,106.52x = 118,190,420.42
  5. Step 5: Solve for x
    x = 118,190,420.42/12,106.52
  6. Step 6: Final answer
    x = 9,762.54

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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.