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Finding the Fourth Proportional to 11,510.90, 15,886.44 and 6,475.33

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Solution

The fourth proportional to 11,510.90, 15,886.44 and 6,475.33 is: 8,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.90 : 15,886.44 = 6,475.33 : x
  2. Step 2: Convert to fraction form
    11,510.90/15,886.44 = 6,475.33/x
  3. Step 3: Cross multiply
    11,510.90x = 15,886.44 × 6,475.33
  4. Step 4: Simplify right side
    11,510.90x = 102,869,941.53
  5. Step 5: Solve for x
    x = 102,869,941.53/11,510.90
  6. Step 6: Final answer
    x = 8,936.74

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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.