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Finding the Fourth Proportional to 10,632, 15,835.69 and 10,076.88

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Solution

The fourth proportional to 10,632, 15,835.69 and 10,076.88 is: 15,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632 : 15,835.69 = 10,076.88 : x
  2. Step 2: Convert to fraction form
    10,632/15,835.69 = 10,076.88/x
  3. Step 3: Cross multiply
    10,632x = 15,835.69 × 10,076.88
  4. Step 4: Simplify right side
    10,632x = 159,574,347.85
  5. Step 5: Solve for x
    x = 159,574,347.85/10,632
  6. Step 6: Final answer
    x = 15,008.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.