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Finding the Fourth Proportional to 11,670.86, 16,106.10 and 7,134.28

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Solution

The fourth proportional to 11,670.86, 16,106.10 and 7,134.28 is: 9,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.86 : 16,106.10 = 7,134.28 : x
  2. Step 2: Convert to fraction form
    11,670.86/16,106.10 = 7,134.28/x
  3. Step 3: Cross multiply
    11,670.86x = 16,106.10 × 7,134.28
  4. Step 4: Simplify right side
    11,670.86x = 114,905,427.11
  5. Step 5: Solve for x
    x = 114,905,427.11/11,670.86
  6. Step 6: Final answer
    x = 9,845.50

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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.