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Finding the Fourth Proportional to 11,027.04, 15,218.56 and 6,312

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Solution

The fourth proportional to 11,027.04, 15,218.56 and 6,312 is: 8,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.04 : 15,218.56 = 6,312 : x
  2. Step 2: Convert to fraction form
    11,027.04/15,218.56 = 6,312/x
  3. Step 3: Cross multiply
    11,027.04x = 15,218.56 × 6,312
  4. Step 4: Simplify right side
    11,027.04x = 96,059,550.72
  5. Step 5: Solve for x
    x = 96,059,550.72/11,027.04
  6. Step 6: Final answer
    x = 8,711.27

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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.