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Finding the Fourth Proportional to 13,715.52, 18,927.08 and 7,747

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Solution

The fourth proportional to 13,715.52, 18,927.08 and 7,747 is: 10,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.52 : 18,927.08 = 7,747 : x
  2. Step 2: Convert to fraction form
    13,715.52/18,927.08 = 7,747/x
  3. Step 3: Cross multiply
    13,715.52x = 18,927.08 × 7,747
  4. Step 4: Simplify right side
    13,715.52x = 146,628,088.76
  5. Step 5: Solve for x
    x = 146,628,088.76/13,715.52
  6. Step 6: Final answer
    x = 10,690.67

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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.