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Finding the Fourth Proportional to 7,800.32, 10,764.43 and 4,263.53

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Solution

The fourth proportional to 7,800.32, 10,764.43 and 4,263.53 is: 5,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.32 : 10,764.43 = 4,263.53 : x
  2. Step 2: Convert to fraction form
    7,800.32/10,764.43 = 4,263.53/x
  3. Step 3: Cross multiply
    7,800.32x = 10,764.43 × 4,263.53
  4. Step 4: Simplify right side
    7,800.32x = 45,894,486.49
  5. Step 5: Solve for x
    x = 45,894,486.49/7,800.32
  6. Step 6: Final answer
    x = 5,883.67

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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.