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Finding the Fourth Proportional to 10,448.71, 15,662.13 and 4,897.38

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Solution

The fourth proportional to 10,448.71, 15,662.13 and 4,897.38 is: 7,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.71 : 15,662.13 = 4,897.38 : x
  2. Step 2: Convert to fraction form
    10,448.71/15,662.13 = 4,897.38/x
  3. Step 3: Cross multiply
    10,448.71x = 15,662.13 × 4,897.38
  4. Step 4: Simplify right side
    10,448.71x = 76,703,402.22
  5. Step 5: Solve for x
    x = 76,703,402.22/10,448.71
  6. Step 6: Final answer
    x = 7,340.94

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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.