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Finding the Fourth Proportional to 11,478.25, 15,840.01 and 6,442.00

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Solution

The fourth proportional to 11,478.25, 15,840.01 and 6,442.00 is: 8,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.25 : 15,840.01 = 6,442.00 : x
  2. Step 2: Convert to fraction form
    11,478.25/15,840.01 = 6,442.00/x
  3. Step 3: Cross multiply
    11,478.25x = 15,840.01 × 6,442.00
  4. Step 4: Simplify right side
    11,478.25x = 102,041,312.87
  5. Step 5: Solve for x
    x = 102,041,312.87/11,478.25
  6. Step 6: Final answer
    x = 8,889.97

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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.