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Finding the Fourth Proportional to 7,674.51, 11,537.43 and 6,298.05

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Solution

The fourth proportional to 7,674.51, 11,537.43 and 6,298.05 is: 9,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.51 : 11,537.43 = 6,298.05 : x
  2. Step 2: Convert to fraction form
    7,674.51/11,537.43 = 6,298.05/x
  3. Step 3: Cross multiply
    7,674.51x = 11,537.43 × 6,298.05
  4. Step 4: Simplify right side
    7,674.51x = 72,663,311.01
  5. Step 5: Solve for x
    x = 72,663,311.01/7,674.51
  6. Step 6: Final answer
    x = 9,468.14

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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.