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Finding the Fourth Proportional to 7,005.16, 10,502.59 and 3,305.31

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Solution

The fourth proportional to 7,005.16, 10,502.59 and 3,305.31 is: 4,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.16 : 10,502.59 = 3,305.31 : x
  2. Step 2: Convert to fraction form
    7,005.16/10,502.59 = 3,305.31/x
  3. Step 3: Cross multiply
    7,005.16x = 10,502.59 × 3,305.31
  4. Step 4: Simplify right side
    7,005.16x = 34,714,315.75
  5. Step 5: Solve for x
    x = 34,714,315.75/7,005.16
  6. Step 6: Final answer
    x = 4,955.54

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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.