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Finding the Fourth Proportional to 11,709.10, 16,160.07 and 7,235.02

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Solution

The fourth proportional to 11,709.10, 16,160.07 and 7,235.02 is: 9,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.10 : 16,160.07 = 7,235.02 : x
  2. Step 2: Convert to fraction form
    11,709.10/16,160.07 = 7,235.02/x
  3. Step 3: Cross multiply
    11,709.10x = 16,160.07 × 7,235.02
  4. Step 4: Simplify right side
    11,709.10x = 116,918,429.65
  5. Step 5: Solve for x
    x = 116,918,429.65/11,709.10
  6. Step 6: Final answer
    x = 9,985.26

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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.