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Finding the Fourth Proportional to 12,070.63, 16,658.15 and 6,765.78

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Solution

The fourth proportional to 12,070.63, 16,658.15 and 6,765.78 is: 9,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.63 : 16,658.15 = 6,765.78 : x
  2. Step 2: Convert to fraction form
    12,070.63/16,658.15 = 6,765.78/x
  3. Step 3: Cross multiply
    12,070.63x = 16,658.15 × 6,765.78
  4. Step 4: Simplify right side
    12,070.63x = 112,705,378.11
  5. Step 5: Solve for x
    x = 112,705,378.11/12,070.63
  6. Step 6: Final answer
    x = 9,337.16

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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.