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Finding the Fourth Proportional to 7,457.06, 10,290.99 and 4,100.00

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Solution

The fourth proportional to 7,457.06, 10,290.99 and 4,100.00 is: 5,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.06 : 10,290.99 = 4,100.00 : x
  2. Step 2: Convert to fraction form
    7,457.06/10,290.99 = 4,100.00/x
  3. Step 3: Cross multiply
    7,457.06x = 10,290.99 × 4,100.00
  4. Step 4: Simplify right side
    7,457.06x = 42,193,007.55
  5. Step 5: Solve for x
    x = 42,193,007.55/7,457.06
  6. Step 6: Final answer
    x = 5,658.13

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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.