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Finding the Fourth Proportional to 7,457.58, 11,185.65 and 3,758.34

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Solution

The fourth proportional to 7,457.58, 11,185.65 and 3,758.34 is: 5,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.58 : 11,185.65 = 3,758.34 : x
  2. Step 2: Convert to fraction form
    7,457.58/11,185.65 = 3,758.34/x
  3. Step 3: Cross multiply
    7,457.58x = 11,185.65 × 3,758.34
  4. Step 4: Simplify right side
    7,457.58x = 42,039,475.82
  5. Step 5: Solve for x
    x = 42,039,475.82/7,457.58
  6. Step 6: Final answer
    x = 5,637.15

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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.