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Finding the Fourth Proportional to 11,415.96, 15,762.51 and 7,439.22

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Solution

The fourth proportional to 11,415.96, 15,762.51 and 7,439.22 is: 10,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.96 : 15,762.51 = 7,439.22 : x
  2. Step 2: Convert to fraction form
    11,415.96/15,762.51 = 7,439.22/x
  3. Step 3: Cross multiply
    11,415.96x = 15,762.51 × 7,439.22
  4. Step 4: Simplify right side
    11,415.96x = 117,260,779.64
  5. Step 5: Solve for x
    x = 117,260,779.64/11,415.96
  6. Step 6: Final answer
    x = 10,271.65

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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.