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Finding the Fourth Proportional to 7,305.38, 10,089.59 and 4,943.42

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Solution

The fourth proportional to 7,305.38, 10,089.59 and 4,943.42 is: 6,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.38 : 10,089.59 = 4,943.42 : x
  2. Step 2: Convert to fraction form
    7,305.38/10,089.59 = 4,943.42/x
  3. Step 3: Cross multiply
    7,305.38x = 10,089.59 × 4,943.42
  4. Step 4: Simplify right side
    7,305.38x = 49,877,081.00
  5. Step 5: Solve for x
    x = 49,877,081.00/7,305.38
  6. Step 6: Final answer
    x = 6,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.