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Finding the Fourth Proportional to 10,652.15, 15,980.51 and 3,257.16

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Solution

The fourth proportional to 10,652.15, 15,980.51 and 3,257.16 is: 4,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.15 : 15,980.51 = 3,257.16 : x
  2. Step 2: Convert to fraction form
    10,652.15/15,980.51 = 3,257.16/x
  3. Step 3: Cross multiply
    10,652.15x = 15,980.51 × 3,257.16
  4. Step 4: Simplify right side
    10,652.15x = 52,051,026.17
  5. Step 5: Solve for x
    x = 52,051,026.17/10,652.15
  6. Step 6: Final answer
    x = 4,886.43

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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.