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Finding the Fourth Proportional to 7,457.01, 10,290.65 and 4,100.04

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Solution

The fourth proportional to 7,457.01, 10,290.65 and 4,100.04 is: 5,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.01 : 10,290.65 = 4,100.04 : x
  2. Step 2: Convert to fraction form
    7,457.01/10,290.65 = 4,100.04/x
  3. Step 3: Cross multiply
    7,457.01x = 10,290.65 × 4,100.04
  4. Step 4: Simplify right side
    7,457.01x = 42,192,056.13
  5. Step 5: Solve for x
    x = 42,192,056.13/7,457.01
  6. Step 6: Final answer
    x = 5,658.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.