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Finding the Fourth Proportional to 11,667.51, 17,507.95 and 4,271.00

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Solution

The fourth proportional to 11,667.51, 17,507.95 and 4,271.00 is: 6,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.51 : 17,507.95 = 4,271.00 : x
  2. Step 2: Convert to fraction form
    11,667.51/17,507.95 = 4,271.00/x
  3. Step 3: Cross multiply
    11,667.51x = 17,507.95 × 4,271.00
  4. Step 4: Simplify right side
    11,667.51x = 74,776,356.23
  5. Step 5: Solve for x
    x = 74,776,356.23/11,667.51
  6. Step 6: Final answer
    x = 6,408.94

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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.