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Finding the Fourth Proportional to 7,570.16, 11,356.64 and 2,305.64

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Solution

The fourth proportional to 7,570.16, 11,356.64 and 2,305.64 is: 3,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.16 : 11,356.64 = 2,305.64 : x
  2. Step 2: Convert to fraction form
    7,570.16/11,356.64 = 2,305.64/x
  3. Step 3: Cross multiply
    7,570.16x = 11,356.64 × 2,305.64
  4. Step 4: Simplify right side
    7,570.16x = 26,184,255.14
  5. Step 5: Solve for x
    x = 26,184,255.14/7,570.16
  6. Step 6: Final answer
    x = 3,458.88

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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.