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Finding the Fourth Proportional to 7,698.32, 10,625.28 and 5,040.80

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Solution

The fourth proportional to 7,698.32, 10,625.28 and 5,040.80 is: 6,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.32 : 10,625.28 = 5,040.80 : x
  2. Step 2: Convert to fraction form
    7,698.32/10,625.28 = 5,040.80/x
  3. Step 3: Cross multiply
    7,698.32x = 10,625.28 × 5,040.80
  4. Step 4: Simplify right side
    7,698.32x = 53,559,911.42
  5. Step 5: Solve for x
    x = 53,559,911.42/7,698.32
  6. Step 6: Final answer
    x = 6,957.35

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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.