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Finding the Fourth Proportional to 10,984.01, 15,157.98 and 6,509.96

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Solution

The fourth proportional to 10,984.01, 15,157.98 and 6,509.96 is: 8,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.01 : 15,157.98 = 6,509.96 : x
  2. Step 2: Convert to fraction form
    10,984.01/15,157.98 = 6,509.96/x
  3. Step 3: Cross multiply
    10,984.01x = 15,157.98 × 6,509.96
  4. Step 4: Simplify right side
    10,984.01x = 98,677,767.69
  5. Step 5: Solve for x
    x = 98,677,767.69/10,984.01
  6. Step 6: Final answer
    x = 8,983.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.