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Finding the Fourth Proportional to 7,562.61, 10,438.07 and 4,378.10

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Solution

The fourth proportional to 7,562.61, 10,438.07 and 4,378.10 is: 6,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.61 : 10,438.07 = 4,378.10 : x
  2. Step 2: Convert to fraction form
    7,562.61/10,438.07 = 4,378.10/x
  3. Step 3: Cross multiply
    7,562.61x = 10,438.07 × 4,378.10
  4. Step 4: Simplify right side
    7,562.61x = 45,698,914.27
  5. Step 5: Solve for x
    x = 45,698,914.27/7,562.61
  6. Step 6: Final answer
    x = 6,042.74

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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.