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Finding the Fourth Proportional to 7,112.98, 10,663.71 and 6,334.51

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Solution

The fourth proportional to 7,112.98, 10,663.71 and 6,334.51 is: 9,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.98 : 10,663.71 = 6,334.51 : x
  2. Step 2: Convert to fraction form
    7,112.98/10,663.71 = 6,334.51/x
  3. Step 3: Cross multiply
    7,112.98x = 10,663.71 × 6,334.51
  4. Step 4: Simplify right side
    7,112.98x = 67,549,377.63
  5. Step 5: Solve for x
    x = 67,549,377.63/7,112.98
  6. Step 6: Final answer
    x = 9,496.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.