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Finding the Fourth Proportional to 11,590.47, 15,994.31 and 6,285.18

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Solution

The fourth proportional to 11,590.47, 15,994.31 and 6,285.18 is: 8,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.47 : 15,994.31 = 6,285.18 : x
  2. Step 2: Convert to fraction form
    11,590.47/15,994.31 = 6,285.18/x
  3. Step 3: Cross multiply
    11,590.47x = 15,994.31 × 6,285.18
  4. Step 4: Simplify right side
    11,590.47x = 100,527,085.90
  5. Step 5: Solve for x
    x = 100,527,085.90/11,590.47
  6. Step 6: Final answer
    x = 8,673.25

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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.