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Finding the Fourth Proportional to 7,402.68, 10,215.54 and 4,259.52

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Solution

The fourth proportional to 7,402.68, 10,215.54 and 4,259.52 is: 5,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.68 : 10,215.54 = 4,259.52 : x
  2. Step 2: Convert to fraction form
    7,402.68/10,215.54 = 4,259.52/x
  3. Step 3: Cross multiply
    7,402.68x = 10,215.54 × 4,259.52
  4. Step 4: Simplify right side
    7,402.68x = 43,513,296.94
  5. Step 5: Solve for x
    x = 43,513,296.94/7,402.68
  6. Step 6: Final answer
    x = 5,878.05

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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.