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Finding the Fourth Proportional to 8,342.96, 11,513.16 and 4,566.32

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Solution

The fourth proportional to 8,342.96, 11,513.16 and 4,566.32 is: 6,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.96 : 11,513.16 = 4,566.32 : x
  2. Step 2: Convert to fraction form
    8,342.96/11,513.16 = 4,566.32/x
  3. Step 3: Cross multiply
    8,342.96x = 11,513.16 × 4,566.32
  4. Step 4: Simplify right side
    8,342.96x = 52,572,772.77
  5. Step 5: Solve for x
    x = 52,572,772.77/8,342.96
  6. Step 6: Final answer
    x = 6,301.45

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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.