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Finding the Fourth Proportional to 10,583.39, 15,875.22 and 7,295.60

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Solution

The fourth proportional to 10,583.39, 15,875.22 and 7,295.60 is: 10,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.39 : 15,875.22 = 7,295.60 : x
  2. Step 2: Convert to fraction form
    10,583.39/15,875.22 = 7,295.60/x
  3. Step 3: Cross multiply
    10,583.39x = 15,875.22 × 7,295.60
  4. Step 4: Simplify right side
    10,583.39x = 115,819,255.03
  5. Step 5: Solve for x
    x = 115,819,255.03/10,583.39
  6. Step 6: Final answer
    x = 10,943.49

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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.