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Finding the Fourth Proportional to 10,842.51, 16,261.95 and 3,820.87

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Solution

The fourth proportional to 10,842.51, 16,261.95 and 3,820.87 is: 5,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.51 : 16,261.95 = 3,820.87 : x
  2. Step 2: Convert to fraction form
    10,842.51/16,261.95 = 3,820.87/x
  3. Step 3: Cross multiply
    10,842.51x = 16,261.95 × 3,820.87
  4. Step 4: Simplify right side
    10,842.51x = 62,134,831.55
  5. Step 5: Solve for x
    x = 62,134,831.55/10,842.51
  6. Step 6: Final answer
    x = 5,730.67

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