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Finding the Fourth Proportional to 10,672.40, 16,008.64 and 4,822.16

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Solution

The fourth proportional to 10,672.40, 16,008.64 and 4,822.16 is: 7,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.40 : 16,008.64 = 4,822.16 : x
  2. Step 2: Convert to fraction form
    10,672.40/16,008.64 = 4,822.16/x
  3. Step 3: Cross multiply
    10,672.40x = 16,008.64 × 4,822.16
  4. Step 4: Simplify right side
    10,672.40x = 77,196,223.46
  5. Step 5: Solve for x
    x = 77,196,223.46/10,672.40
  6. Step 6: Final answer
    x = 7,233.26

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Why These Related Problems?

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