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Finding the Fourth Proportional to 15,287.84, 22,953 and 7,897.76

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Solution

The fourth proportional to 15,287.84, 22,953 and 7,897.76 is: 11,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.84 : 22,953 = 7,897.76 : x
  2. Step 2: Convert to fraction form
    15,287.84/22,953 = 7,897.76/x
  3. Step 3: Cross multiply
    15,287.84x = 22,953 × 7,897.76
  4. Step 4: Simplify right side
    15,287.84x = 181,277,285.28
  5. Step 5: Solve for x
    x = 181,277,285.28/15,287.84
  6. Step 6: Final answer
    x = 11,857.61

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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.