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Finding the Fourth Proportional to 10,323.16, 14,246.02 and 5,607.48

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Solution

The fourth proportional to 10,323.16, 14,246.02 and 5,607.48 is: 7,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.16 : 14,246.02 = 5,607.48 : x
  2. Step 2: Convert to fraction form
    10,323.16/14,246.02 = 5,607.48/x
  3. Step 3: Cross multiply
    10,323.16x = 14,246.02 × 5,607.48
  4. Step 4: Simplify right side
    10,323.16x = 79,884,272.23
  5. Step 5: Solve for x
    x = 79,884,272.23/10,323.16
  6. Step 6: Final answer
    x = 7,738.35

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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.