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Finding the Fourth Proportional to 11,876.64, 16,387.10 and 7,095.30

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Solution

The fourth proportional to 11,876.64, 16,387.10 and 7,095.30 is: 9,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.64 : 16,387.10 = 7,095.30 : x
  2. Step 2: Convert to fraction form
    11,876.64/16,387.10 = 7,095.30/x
  3. Step 3: Cross multiply
    11,876.64x = 16,387.10 × 7,095.30
  4. Step 4: Simplify right side
    11,876.64x = 116,271,390.63
  5. Step 5: Solve for x
    x = 116,271,390.63/11,876.64
  6. Step 6: Final answer
    x = 9,789.92

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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.