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Finding the Fourth Proportional to 11,412.96, 15,745.68 and 6,695.52

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Solution

The fourth proportional to 11,412.96, 15,745.68 and 6,695.52 is: 9,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.96 : 15,745.68 = 6,695.52 : x
  2. Step 2: Convert to fraction form
    11,412.96/15,745.68 = 6,695.52/x
  3. Step 3: Cross multiply
    11,412.96x = 15,745.68 × 6,695.52
  4. Step 4: Simplify right side
    11,412.96x = 105,425,515.35
  5. Step 5: Solve for x
    x = 105,425,515.35/11,412.96
  6. Step 6: Final answer
    x = 9,237.35

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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.