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Finding the Fourth Proportional to 7,392.98, 10,206.08 and 5,710.62

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Solution

The fourth proportional to 7,392.98, 10,206.08 and 5,710.62 is: 7,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,392.98 : 10,206.08 = 5,710.62 : x
  2. Step 2: Convert to fraction form
    7,392.98/10,206.08 = 5,710.62/x
  3. Step 3: Cross multiply
    7,392.98x = 10,206.08 × 5,710.62
  4. Step 4: Simplify right side
    7,392.98x = 58,283,044.57
  5. Step 5: Solve for x
    x = 58,283,044.57/7,392.98
  6. Step 6: Final answer
    x = 7,883.57

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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.