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Finding the Fourth Proportional to 7,975.34, 11,005.89 and 4,438.49

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Solution

The fourth proportional to 7,975.34, 11,005.89 and 4,438.49 is: 6,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.34 : 11,005.89 = 4,438.49 : x
  2. Step 2: Convert to fraction form
    7,975.34/11,005.89 = 4,438.49/x
  3. Step 3: Cross multiply
    7,975.34x = 11,005.89 × 4,438.49
  4. Step 4: Simplify right side
    7,975.34x = 48,849,532.71
  5. Step 5: Solve for x
    x = 48,849,532.71/7,975.34
  6. Step 6: Final answer
    x = 6,125.07

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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.