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Finding the Fourth Proportional to 7,656.31, 11,462.32 and 4,484.15

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Solution

The fourth proportional to 7,656.31, 11,462.32 and 4,484.15 is: 6,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.31 : 11,462.32 = 4,484.15 : x
  2. Step 2: Convert to fraction form
    7,656.31/11,462.32 = 4,484.15/x
  3. Step 3: Cross multiply
    7,656.31x = 11,462.32 × 4,484.15
  4. Step 4: Simplify right side
    7,656.31x = 51,398,762.23
  5. Step 5: Solve for x
    x = 51,398,762.23/7,656.31
  6. Step 6: Final answer
    x = 6,713.26

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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.