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Finding the Fourth Proportional to 7,538.40, 10,398.78 and 4,393.98

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Solution

The fourth proportional to 7,538.40, 10,398.78 and 4,393.98 is: 6,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.40 : 10,398.78 = 4,393.98 : x
  2. Step 2: Convert to fraction form
    7,538.40/10,398.78 = 4,393.98/x
  3. Step 3: Cross multiply
    7,538.40x = 10,398.78 × 4,393.98
  4. Step 4: Simplify right side
    7,538.40x = 45,692,031.34
  5. Step 5: Solve for x
    x = 45,692,031.34/7,538.40
  6. Step 6: Final answer
    x = 6,061.24

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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.