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Finding the Fourth Proportional to 7,157.34, 10,724.33 and 3,642.51

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Solution

The fourth proportional to 7,157.34, 10,724.33 and 3,642.51 is: 5,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.34 : 10,724.33 = 3,642.51 : x
  2. Step 2: Convert to fraction form
    7,157.34/10,724.33 = 3,642.51/x
  3. Step 3: Cross multiply
    7,157.34x = 10,724.33 × 3,642.51
  4. Step 4: Simplify right side
    7,157.34x = 39,063,461.06
  5. Step 5: Solve for x
    x = 39,063,461.06/7,157.34
  6. Step 6: Final answer
    x = 5,457.82

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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.