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Finding the Fourth Proportional to 10,443.30, 15,664.23 and 4,897.89

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Solution

The fourth proportional to 10,443.30, 15,664.23 and 4,897.89 is: 7,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.30 : 15,664.23 = 4,897.89 : x
  2. Step 2: Convert to fraction form
    10,443.30/15,664.23 = 4,897.89/x
  3. Step 3: Cross multiply
    10,443.30x = 15,664.23 × 4,897.89
  4. Step 4: Simplify right side
    10,443.30x = 76,721,675.47
  5. Step 5: Solve for x
    x = 76,721,675.47/10,443.30
  6. Step 6: Final answer
    x = 7,346.50

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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.