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Finding the Fourth Proportional to 11,471.47, 15,830.39 and 6,297.28

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Solution

The fourth proportional to 11,471.47, 15,830.39 and 6,297.28 is: 8,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.47 : 15,830.39 = 6,297.28 : x
  2. Step 2: Convert to fraction form
    11,471.47/15,830.39 = 6,297.28/x
  3. Step 3: Cross multiply
    11,471.47x = 15,830.39 × 6,297.28
  4. Step 4: Simplify right side
    11,471.47x = 99,688,339.08
  5. Step 5: Solve for x
    x = 99,688,339.08/11,471.47
  6. Step 6: Final answer
    x = 8,690.11

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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.