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Finding the Fourth Proportional to 7,570.08, 11,353.02 and 3,184.98

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Solution

The fourth proportional to 7,570.08, 11,353.02 and 3,184.98 is: 4,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.08 : 11,353.02 = 3,184.98 : x
  2. Step 2: Convert to fraction form
    7,570.08/11,353.02 = 3,184.98/x
  3. Step 3: Cross multiply
    7,570.08x = 11,353.02 × 3,184.98
  4. Step 4: Simplify right side
    7,570.08x = 36,159,141.64
  5. Step 5: Solve for x
    x = 36,159,141.64/7,570.08
  6. Step 6: Final answer
    x = 4,776.59

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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.