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Finding the Fourth Proportional to 11,478.88, 15,840 and 6,442.36

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Solution

The fourth proportional to 11,478.88, 15,840 and 6,442.36 is: 8,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.88 : 15,840 = 6,442.36 : x
  2. Step 2: Convert to fraction form
    11,478.88/15,840 = 6,442.36/x
  3. Step 3: Cross multiply
    11,478.88x = 15,840 × 6,442.36
  4. Step 4: Simplify right side
    11,478.88x = 102,046,982.40
  5. Step 5: Solve for x
    x = 102,046,982.40/11,478.88
  6. Step 6: Final answer
    x = 8,889.98

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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.