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Finding the Fourth Proportional to 10,509.88, 15,768.54 and 4,665.96

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Solution

The fourth proportional to 10,509.88, 15,768.54 and 4,665.96 is: 7,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.88 : 15,768.54 = 4,665.96 : x
  2. Step 2: Convert to fraction form
    10,509.88/15,768.54 = 4,665.96/x
  3. Step 3: Cross multiply
    10,509.88x = 15,768.54 × 4,665.96
  4. Step 4: Simplify right side
    10,509.88x = 73,575,376.90
  5. Step 5: Solve for x
    x = 73,575,376.90/10,509.88
  6. Step 6: Final answer
    x = 7,000.59

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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.