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Finding the Fourth Proportional to 10,543.32, 15,812.76 and 6,783.84

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Solution

The fourth proportional to 10,543.32, 15,812.76 and 6,783.84 is: 10,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.32 : 15,812.76 = 6,783.84 : x
  2. Step 2: Convert to fraction form
    10,543.32/15,812.76 = 6,783.84/x
  3. Step 3: Cross multiply
    10,543.32x = 15,812.76 × 6,783.84
  4. Step 4: Simplify right side
    10,543.32x = 107,271,233.80
  5. Step 5: Solve for x
    x = 107,271,233.80/10,543.32
  6. Step 6: Final answer
    x = 10,174.33

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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.