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Finding the Fourth Proportional to 8,003.48, 11,043.74 and 4,646.26

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Solution

The fourth proportional to 8,003.48, 11,043.74 and 4,646.26 is: 6,411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.48 : 11,043.74 = 4,646.26 : x
  2. Step 2: Convert to fraction form
    8,003.48/11,043.74 = 4,646.26/x
  3. Step 3: Cross multiply
    8,003.48x = 11,043.74 × 4,646.26
  4. Step 4: Simplify right side
    8,003.48x = 51,312,008.96
  5. Step 5: Solve for x
    x = 51,312,008.96/8,003.48
  6. Step 6: Final answer
    x = 6,411.21

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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.