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Finding the Fourth Proportional to 7,873.82, 10,864.49 and 4,730.07

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Solution

The fourth proportional to 7,873.82, 10,864.49 and 4,730.07 is: 6,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.82 : 10,864.49 = 4,730.07 : x
  2. Step 2: Convert to fraction form
    7,873.82/10,864.49 = 4,730.07/x
  3. Step 3: Cross multiply
    7,873.82x = 10,864.49 × 4,730.07
  4. Step 4: Simplify right side
    7,873.82x = 51,389,774.56
  5. Step 5: Solve for x
    x = 51,389,774.56/7,873.82
  6. Step 6: Final answer
    x = 6,526.67

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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.