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Finding the Fourth Proportional to 11,590.31, 15,994.63 and 6,285.13

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Solution

The fourth proportional to 11,590.31, 15,994.63 and 6,285.13 is: 8,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.31 : 15,994.63 = 6,285.13 : x
  2. Step 2: Convert to fraction form
    11,590.31/15,994.63 = 6,285.13/x
  3. Step 3: Cross multiply
    11,590.31x = 15,994.63 × 6,285.13
  4. Step 4: Simplify right side
    11,590.31x = 100,528,386.69
  5. Step 5: Solve for x
    x = 100,528,386.69/11,590.31
  6. Step 6: Final answer
    x = 8,673.48

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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.