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Finding the Fourth Proportional to 7,457.80, 10,291.68 and 4,145.80

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Solution

The fourth proportional to 7,457.80, 10,291.68 and 4,145.80 is: 5,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457.80 : 10,291.68 = 4,145.80 : x
  2. Step 2: Convert to fraction form
    7,457.80/10,291.68 = 4,145.80/x
  3. Step 3: Cross multiply
    7,457.80x = 10,291.68 × 4,145.80
  4. Step 4: Simplify right side
    7,457.80x = 42,667,246.94
  5. Step 5: Solve for x
    x = 42,667,246.94/7,457.80
  6. Step 6: Final answer
    x = 5,721.16

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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.