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Finding the Fourth Proportional to 11,152.42, 15,382.27 and 9,471.16

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Solution

The fourth proportional to 11,152.42, 15,382.27 and 9,471.16 is: 13,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.42 : 15,382.27 = 9,471.16 : x
  2. Step 2: Convert to fraction form
    11,152.42/15,382.27 = 9,471.16/x
  3. Step 3: Cross multiply
    11,152.42x = 15,382.27 × 9,471.16
  4. Step 4: Simplify right side
    11,152.42x = 145,688,014.66
  5. Step 5: Solve for x
    x = 145,688,014.66/11,152.42
  6. Step 6: Final answer
    x = 13,063.35

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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.