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Finding the Fourth Proportional to 11,483.34, 15,846.76 and 6,378.52

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Solution

The fourth proportional to 11,483.34, 15,846.76 and 6,378.52 is: 8,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.34 : 15,846.76 = 6,378.52 : x
  2. Step 2: Convert to fraction form
    11,483.34/15,846.76 = 6,378.52/x
  3. Step 3: Cross multiply
    11,483.34x = 15,846.76 × 6,378.52
  4. Step 4: Simplify right side
    11,483.34x = 101,078,875.60
  5. Step 5: Solve for x
    x = 101,078,875.60/11,483.34
  6. Step 6: Final answer
    x = 8,802.22

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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.