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Finding the Fourth Proportional to 11,461.62, 15,816.98 and 6,425.84

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Solution

The fourth proportional to 11,461.62, 15,816.98 and 6,425.84 is: 8,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.62 : 15,816.98 = 6,425.84 : x
  2. Step 2: Convert to fraction form
    11,461.62/15,816.98 = 6,425.84/x
  3. Step 3: Cross multiply
    11,461.62x = 15,816.98 × 6,425.84
  4. Step 4: Simplify right side
    11,461.62x = 101,637,271.55
  5. Step 5: Solve for x
    x = 101,637,271.55/11,461.62
  6. Step 6: Final answer
    x = 8,867.62

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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.