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Finding the Fourth Proportional to 6,026.96, 8,309.04 and 5,152.16

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Solution

The fourth proportional to 6,026.96, 8,309.04 and 5,152.16 is: 7,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.96 : 8,309.04 = 5,152.16 : x
  2. Step 2: Convert to fraction form
    6,026.96/8,309.04 = 5,152.16/x
  3. Step 3: Cross multiply
    6,026.96x = 8,309.04 × 5,152.16
  4. Step 4: Simplify right side
    6,026.96x = 42,809,503.53
  5. Step 5: Solve for x
    x = 42,809,503.53/6,026.96
  6. Step 6: Final answer
    x = 7,103.00

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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.