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Finding the Fourth Proportional to 7,433.76, 10,259.88 and 5,662.08

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Solution

The fourth proportional to 7,433.76, 10,259.88 and 5,662.08 is: 7,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.76 : 10,259.88 = 5,662.08 : x
  2. Step 2: Convert to fraction form
    7,433.76/10,259.88 = 5,662.08/x
  3. Step 3: Cross multiply
    7,433.76x = 10,259.88 × 5,662.08
  4. Step 4: Simplify right side
    7,433.76x = 58,092,261.35
  5. Step 5: Solve for x
    x = 58,092,261.35/7,433.76
  6. Step 6: Final answer
    x = 7,814.65

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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.