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Finding the Fourth Proportional to 7,749.40, 10,699.32 and 5,953.68

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Solution

The fourth proportional to 7,749.40, 10,699.32 and 5,953.68 is: 8,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.40 : 10,699.32 = 5,953.68 : x
  2. Step 2: Convert to fraction form
    7,749.40/10,699.32 = 5,953.68/x
  3. Step 3: Cross multiply
    7,749.40x = 10,699.32 × 5,953.68
  4. Step 4: Simplify right side
    7,749.40x = 63,700,327.50
  5. Step 5: Solve for x
    x = 63,700,327.50/7,749.40
  6. Step 6: Final answer
    x = 8,220.03

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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.