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Finding the Fourth Proportional to 10,984.88, 15,158.53 and 6,509.05

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Solution

The fourth proportional to 10,984.88, 15,158.53 and 6,509.05 is: 8,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.88 : 15,158.53 = 6,509.05 : x
  2. Step 2: Convert to fraction form
    10,984.88/15,158.53 = 6,509.05/x
  3. Step 3: Cross multiply
    10,984.88x = 15,158.53 × 6,509.05
  4. Step 4: Simplify right side
    10,984.88x = 98,667,629.70
  5. Step 5: Solve for x
    x = 98,667,629.70/10,984.88
  6. Step 6: Final answer
    x = 8,982.13

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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.