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Finding the Fourth Proportional to 7,386.98, 10,197.80 and 5,704.61

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Solution

The fourth proportional to 7,386.98, 10,197.80 and 5,704.61 is: 7,875.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.98 : 10,197.80 = 5,704.61 : x
  2. Step 2: Convert to fraction form
    7,386.98/10,197.80 = 5,704.61/x
  3. Step 3: Cross multiply
    7,386.98x = 10,197.80 × 5,704.61
  4. Step 4: Simplify right side
    7,386.98x = 58,174,392.35
  5. Step 5: Solve for x
    x = 58,174,392.35/7,386.98
  6. Step 6: Final answer
    x = 7,875.27

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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.