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Finding the Fourth Proportional to 10,582.26, 15,780.23 and 9,843.54

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Solution

The fourth proportional to 10,582.26, 15,780.23 and 9,843.54 is: 14,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.26 : 15,780.23 = 9,843.54 : x
  2. Step 2: Convert to fraction form
    10,582.26/15,780.23 = 9,843.54/x
  3. Step 3: Cross multiply
    10,582.26x = 15,780.23 × 9,843.54
  4. Step 4: Simplify right side
    10,582.26x = 155,333,325.21
  5. Step 5: Solve for x
    x = 155,333,325.21/10,582.26
  6. Step 6: Final answer
    x = 14,678.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.