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Finding the Fourth Proportional to 7,800.48, 10,763.64 and 4,656

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Solution

The fourth proportional to 7,800.48, 10,763.64 and 4,656 is: 6,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.48 : 10,763.64 = 4,656 : x
  2. Step 2: Convert to fraction form
    7,800.48/10,763.64 = 4,656/x
  3. Step 3: Cross multiply
    7,800.48x = 10,763.64 × 4,656
  4. Step 4: Simplify right side
    7,800.48x = 50,115,507.84
  5. Step 5: Solve for x
    x = 50,115,507.84/7,800.48
  6. Step 6: Final answer
    x = 6,424.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.