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Finding the Fourth Proportional to 10,461.20, 15,616.55 and 8,964.32

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Solution

The fourth proportional to 10,461.20, 15,616.55 and 8,964.32 is: 13,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.20 : 15,616.55 = 8,964.32 : x
  2. Step 2: Convert to fraction form
    10,461.20/15,616.55 = 8,964.32/x
  3. Step 3: Cross multiply
    10,461.20x = 15,616.55 × 8,964.32
  4. Step 4: Simplify right side
    10,461.20x = 139,991,751.50
  5. Step 5: Solve for x
    x = 139,991,751.50/10,461.20
  6. Step 6: Final answer
    x = 13,382.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.