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Finding the Fourth Proportional to 6,699.16, 10,038.54 and 3,407.32

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Solution

The fourth proportional to 6,699.16, 10,038.54 and 3,407.32 is: 5,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.16 : 10,038.54 = 3,407.32 : x
  2. Step 2: Convert to fraction form
    6,699.16/10,038.54 = 3,407.32/x
  3. Step 3: Cross multiply
    6,699.16x = 10,038.54 × 3,407.32
  4. Step 4: Simplify right side
    6,699.16x = 34,204,518.11
  5. Step 5: Solve for x
    x = 34,204,518.11/6,699.16
  6. Step 6: Final answer
    x = 5,105.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.