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Finding the Fourth Proportional to 7,259.56, 10,022.34 and 4,782.76

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Solution

The fourth proportional to 7,259.56, 10,022.34 and 4,782.76 is: 6,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.56 : 10,022.34 = 4,782.76 : x
  2. Step 2: Convert to fraction form
    7,259.56/10,022.34 = 4,782.76/x
  3. Step 3: Cross multiply
    7,259.56x = 10,022.34 × 4,782.76
  4. Step 4: Simplify right side
    7,259.56x = 47,934,446.86
  5. Step 5: Solve for x
    x = 47,934,446.86/7,259.56
  6. Step 6: Final answer
    x = 6,602.94

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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.