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Finding the Fourth Proportional to 7,705.34, 11,558.01 and 5,952.89

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Solution

The fourth proportional to 7,705.34, 11,558.01 and 5,952.89 is: 8,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.34 : 11,558.01 = 5,952.89 : x
  2. Step 2: Convert to fraction form
    7,705.34/11,558.01 = 5,952.89/x
  3. Step 3: Cross multiply
    7,705.34x = 11,558.01 × 5,952.89
  4. Step 4: Simplify right side
    7,705.34x = 68,803,592.44
  5. Step 5: Solve for x
    x = 68,803,592.44/7,705.34
  6. Step 6: Final answer
    x = 8,929.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.