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Finding the Fourth Proportional to 10,051.65, 13,873.47 and 5,576.94

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Solution

The fourth proportional to 10,051.65, 13,873.47 and 5,576.94 is: 7,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.65 : 13,873.47 = 5,576.94 : x
  2. Step 2: Convert to fraction form
    10,051.65/13,873.47 = 5,576.94/x
  3. Step 3: Cross multiply
    10,051.65x = 13,873.47 × 5,576.94
  4. Step 4: Simplify right side
    10,051.65x = 77,371,509.78
  5. Step 5: Solve for x
    x = 77,371,509.78/10,051.65
  6. Step 6: Final answer
    x = 7,697.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.