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Finding the Fourth Proportional to 12,130.16, 16,741.83 and 7,094.08

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Solution

The fourth proportional to 12,130.16, 16,741.83 and 7,094.08 is: 9,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.16 : 16,741.83 = 7,094.08 : x
  2. Step 2: Convert to fraction form
    12,130.16/16,741.83 = 7,094.08/x
  3. Step 3: Cross multiply
    12,130.16x = 16,741.83 × 7,094.08
  4. Step 4: Simplify right side
    12,130.16x = 118,767,879.02
  5. Step 5: Solve for x
    x = 118,767,879.02/12,130.16
  6. Step 6: Final answer
    x = 9,791.12

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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.