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Finding the Fourth Proportional to 8,342.64, 11,513.00 and 4,565.95

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Solution

The fourth proportional to 8,342.64, 11,513.00 and 4,565.95 is: 6,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.64 : 11,513.00 = 4,565.95 : x
  2. Step 2: Convert to fraction form
    8,342.64/11,513.00 = 4,565.95/x
  3. Step 3: Cross multiply
    8,342.64x = 11,513.00 × 4,565.95
  4. Step 4: Simplify right side
    8,342.64x = 52,567,764.98
  5. Step 5: Solve for x
    x = 52,567,764.98/8,342.64
  6. Step 6: Final answer
    x = 6,301.09

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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.