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Finding the Fourth Proportional to 7,435.81, 10,259.73 and 5,046.11

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Solution

The fourth proportional to 7,435.81, 10,259.73 and 5,046.11 is: 6,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.81 : 10,259.73 = 5,046.11 : x
  2. Step 2: Convert to fraction form
    7,435.81/10,259.73 = 5,046.11/x
  3. Step 3: Cross multiply
    7,435.81x = 10,259.73 × 5,046.11
  4. Step 4: Simplify right side
    7,435.81x = 51,771,674.85
  5. Step 5: Solve for x
    x = 51,771,674.85/7,435.81
  6. Step 6: Final answer
    x = 6,962.48

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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.