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Finding the Fourth Proportional to 7,457.32, 11,175.48 and 5,890.42

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Solution

The fourth proportional to 7,457.32, 11,175.48 and 5,890.42 is: 8,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.32 : 11,175.48 = 5,890.42 : x
  2. Step 2: Convert to fraction form
    7,457.32/11,175.48 = 5,890.42/x
  3. Step 3: Cross multiply
    7,457.32x = 11,175.48 × 5,890.42
  4. Step 4: Simplify right side
    7,457.32x = 65,828,270.90
  5. Step 5: Solve for x
    x = 65,828,270.90/7,457.32
  6. Step 6: Final answer
    x = 8,827.34

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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.