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Finding the Fourth Proportional to 10,856.56, 14,968.92 and 9,175

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Solution

The fourth proportional to 10,856.56, 14,968.92 and 9,175 is: 12,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.56 : 14,968.92 = 9,175 : x
  2. Step 2: Convert to fraction form
    10,856.56/14,968.92 = 9,175/x
  3. Step 3: Cross multiply
    10,856.56x = 14,968.92 × 9,175
  4. Step 4: Simplify right side
    10,856.56x = 137,339,841
  5. Step 5: Solve for x
    x = 137,339,841/10,856.56
  6. Step 6: Final answer
    x = 12,650.40

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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.