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Finding the Fourth Proportional to 11,300.32, 15,590.82 and 6,825.40

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Solution

The fourth proportional to 11,300.32, 15,590.82 and 6,825.40 is: 9,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.32 : 15,590.82 = 6,825.40 : x
  2. Step 2: Convert to fraction form
    11,300.32/15,590.82 = 6,825.40/x
  3. Step 3: Cross multiply
    11,300.32x = 15,590.82 × 6,825.40
  4. Step 4: Simplify right side
    11,300.32x = 106,413,582.83
  5. Step 5: Solve for x
    x = 106,413,582.83/11,300.32
  6. Step 6: Final answer
    x = 9,416.86

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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.