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Finding the Fourth Proportional to 10,323.51, 14,246.51 and 5,607.79

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Solution

The fourth proportional to 10,323.51, 14,246.51 and 5,607.79 is: 7,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.51 : 14,246.51 = 5,607.79 : x
  2. Step 2: Convert to fraction form
    10,323.51/14,246.51 = 5,607.79/x
  3. Step 3: Cross multiply
    10,323.51x = 14,246.51 × 5,607.79
  4. Step 4: Simplify right side
    10,323.51x = 79,891,436.31
  5. Step 5: Solve for x
    x = 79,891,436.31/10,323.51
  6. Step 6: Final answer
    x = 7,738.79

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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.