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Finding the Fourth Proportional to 8,001.93, 11,042.64 and 4,646.71

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Solution

The fourth proportional to 8,001.93, 11,042.64 and 4,646.71 is: 6,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.93 : 11,042.64 = 4,646.71 : x
  2. Step 2: Convert to fraction form
    8,001.93/11,042.64 = 4,646.71/x
  3. Step 3: Cross multiply
    8,001.93x = 11,042.64 × 4,646.71
  4. Step 4: Simplify right side
    8,001.93x = 51,311,945.71
  5. Step 5: Solve for x
    x = 51,311,945.71/8,001.93
  6. Step 6: Final answer
    x = 6,412.45

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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.