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Finding the Fourth Proportional to 7,496.25, 10,335.21 and 6,146.89

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Solution

The fourth proportional to 7,496.25, 10,335.21 and 6,146.89 is: 8,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.25 : 10,335.21 = 6,146.89 : x
  2. Step 2: Convert to fraction form
    7,496.25/10,335.21 = 6,146.89/x
  3. Step 3: Cross multiply
    7,496.25x = 10,335.21 × 6,146.89
  4. Step 4: Simplify right side
    7,496.25x = 63,529,373.16
  5. Step 5: Solve for x
    x = 63,529,373.16/7,496.25
  6. Step 6: Final answer
    x = 8,474.82

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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.