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Finding the Fourth Proportional to 10,582.39, 15,873.72 and 7,294.60

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Solution

The fourth proportional to 10,582.39, 15,873.72 and 7,294.60 is: 10,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.39 : 15,873.72 = 7,294.60 : x
  2. Step 2: Convert to fraction form
    10,582.39/15,873.72 = 7,294.60/x
  3. Step 3: Cross multiply
    10,582.39x = 15,873.72 × 7,294.60
  4. Step 4: Simplify right side
    10,582.39x = 115,792,398.23
  5. Step 5: Solve for x
    x = 115,792,398.23/10,582.39
  6. Step 6: Final answer
    x = 10,941.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.