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Finding the Fourth Proportional to 8,159.72, 11,259.80 and 4,575.06

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Solution

The fourth proportional to 8,159.72, 11,259.80 and 4,575.06 is: 6,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.72 : 11,259.80 = 4,575.06 : x
  2. Step 2: Convert to fraction form
    8,159.72/11,259.80 = 4,575.06/x
  3. Step 3: Cross multiply
    8,159.72x = 11,259.80 × 4,575.06
  4. Step 4: Simplify right side
    8,159.72x = 51,514,260.59
  5. Step 5: Solve for x
    x = 51,514,260.59/8,159.72
  6. Step 6: Final answer
    x = 6,313.24

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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.