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Finding the Fourth Proportional to 11,094.30, 15,305.76 and 7,114.77

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Solution

The fourth proportional to 11,094.30, 15,305.76 and 7,114.77 is: 9,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.30 : 15,305.76 = 7,114.77 : x
  2. Step 2: Convert to fraction form
    11,094.30/15,305.76 = 7,114.77/x
  3. Step 3: Cross multiply
    11,094.30x = 15,305.76 × 7,114.77
  4. Step 4: Simplify right side
    11,094.30x = 108,896,962.08
  5. Step 5: Solve for x
    x = 108,896,962.08/11,094.30
  6. Step 6: Final answer
    x = 9,815.58

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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.