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Finding the Fourth Proportional to 10,280, 14,180.02 and 7,588.47

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Solution

The fourth proportional to 10,280, 14,180.02 and 7,588.47 is: 10,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280 : 14,180.02 = 7,588.47 : x
  2. Step 2: Convert to fraction form
    10,280/14,180.02 = 7,588.47/x
  3. Step 3: Cross multiply
    10,280x = 14,180.02 × 7,588.47
  4. Step 4: Simplify right side
    10,280x = 107,604,656.37
  5. Step 5: Solve for x
    x = 107,604,656.37/10,280
  6. Step 6: Final answer
    x = 10,467.38

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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.