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Finding the Fourth Proportional to 11,381.34, 15,706.08 and 6,345.48

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Solution

The fourth proportional to 11,381.34, 15,706.08 and 6,345.48 is: 8,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.34 : 15,706.08 = 6,345.48 : x
  2. Step 2: Convert to fraction form
    11,381.34/15,706.08 = 6,345.48/x
  3. Step 3: Cross multiply
    11,381.34x = 15,706.08 × 6,345.48
  4. Step 4: Simplify right side
    11,381.34x = 99,662,616.52
  5. Step 5: Solve for x
    x = 99,662,616.52/11,381.34
  6. Step 6: Final answer
    x = 8,756.67

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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.