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Finding the Fourth Proportional to 12,090.16, 16,684.48 and 6,712.67

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Solution

The fourth proportional to 12,090.16, 16,684.48 and 6,712.67 is: 9,263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.16 : 16,684.48 = 6,712.67 : x
  2. Step 2: Convert to fraction form
    12,090.16/16,684.48 = 6,712.67/x
  3. Step 3: Cross multiply
    12,090.16x = 16,684.48 × 6,712.67
  4. Step 4: Simplify right side
    12,090.16x = 111,997,458.46
  5. Step 5: Solve for x
    x = 111,997,458.46/12,090.16
  6. Step 6: Final answer
    x = 9,263.52

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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.