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Finding the Fourth Proportional to 7,676.34, 10,595.28 and 5,438.58

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Solution

The fourth proportional to 7,676.34, 10,595.28 and 5,438.58 is: 7,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.34 : 10,595.28 = 5,438.58 : x
  2. Step 2: Convert to fraction form
    7,676.34/10,595.28 = 5,438.58/x
  3. Step 3: Cross multiply
    7,676.34x = 10,595.28 × 5,438.58
  4. Step 4: Simplify right side
    7,676.34x = 57,623,277.90
  5. Step 5: Solve for x
    x = 57,623,277.90/7,676.34
  6. Step 6: Final answer
    x = 7,506.61

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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.