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Finding the Fourth Proportional to 10,483.81, 15,723.65 and 4,935.67

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Solution

The fourth proportional to 10,483.81, 15,723.65 and 4,935.67 is: 7,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.81 : 15,723.65 = 4,935.67 : x
  2. Step 2: Convert to fraction form
    10,483.81/15,723.65 = 4,935.67/x
  3. Step 3: Cross multiply
    10,483.81x = 15,723.65 × 4,935.67
  4. Step 4: Simplify right side
    10,483.81x = 77,606,720.63
  5. Step 5: Solve for x
    x = 77,606,720.63/10,483.81
  6. Step 6: Final answer
    x = 7,402.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.