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Finding the Fourth Proportional to 10,509.84, 15,763.80 and 6,124.56

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Solution

The fourth proportional to 10,509.84, 15,763.80 and 6,124.56 is: 9,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.84 : 15,763.80 = 6,124.56 : x
  2. Step 2: Convert to fraction form
    10,509.84/15,763.80 = 6,124.56/x
  3. Step 3: Cross multiply
    10,509.84x = 15,763.80 × 6,124.56
  4. Step 4: Simplify right side
    10,509.84x = 96,546,338.93
  5. Step 5: Solve for x
    x = 96,546,338.93/10,509.84
  6. Step 6: Final answer
    x = 9,186.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.