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Finding the Fourth Proportional to 7,054.86, 10,583.50 and 2,897.12

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Solution

The fourth proportional to 7,054.86, 10,583.50 and 2,897.12 is: 4,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.86 : 10,583.50 = 2,897.12 : x
  2. Step 2: Convert to fraction form
    7,054.86/10,583.50 = 2,897.12/x
  3. Step 3: Cross multiply
    7,054.86x = 10,583.50 × 2,897.12
  4. Step 4: Simplify right side
    7,054.86x = 30,661,669.52
  5. Step 5: Solve for x
    x = 30,661,669.52/7,054.86
  6. Step 6: Final answer
    x = 4,346.18

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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.