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Finding the Fourth Proportional to 10,783.71, 16,157.88 and 10,373.58

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Solution

The fourth proportional to 10,783.71, 16,157.88 and 10,373.58 is: 15,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.71 : 16,157.88 = 10,373.58 : x
  2. Step 2: Convert to fraction form
    10,783.71/16,157.88 = 10,373.58/x
  3. Step 3: Cross multiply
    10,783.71x = 16,157.88 × 10,373.58
  4. Step 4: Simplify right side
    10,783.71x = 167,615,060.81
  5. Step 5: Solve for x
    x = 167,615,060.81/10,783.71
  6. Step 6: Final answer
    x = 15,543.36

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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.