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Finding the Fourth Proportional to 12,070.76, 16,642.08 and 7,814.28

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Solution

The fourth proportional to 12,070.76, 16,642.08 and 7,814.28 is: 10,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.76 : 16,642.08 = 7,814.28 : x
  2. Step 2: Convert to fraction form
    12,070.76/16,642.08 = 7,814.28/x
  3. Step 3: Cross multiply
    12,070.76x = 16,642.08 × 7,814.28
  4. Step 4: Simplify right side
    12,070.76x = 130,045,872.90
  5. Step 5: Solve for x
    x = 130,045,872.90/12,070.76
  6. Step 6: Final answer
    x = 10,773.63

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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.