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Finding the Fourth Proportional to 11,506.12, 17,266.86 and 6,315.64

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Solution

The fourth proportional to 11,506.12, 17,266.86 and 6,315.64 is: 9,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.12 : 17,266.86 = 6,315.64 : x
  2. Step 2: Convert to fraction form
    11,506.12/17,266.86 = 6,315.64/x
  3. Step 3: Cross multiply
    11,506.12x = 17,266.86 × 6,315.64
  4. Step 4: Simplify right side
    11,506.12x = 109,051,271.69
  5. Step 5: Solve for x
    x = 109,051,271.69/11,506.12
  6. Step 6: Final answer
    x = 9,477.68

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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.