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Finding the Fourth Proportional to 10,581.64, 14,494.97 and 10,465

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Solution

The fourth proportional to 10,581.64, 14,494.97 and 10,465 is: 14,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.64 : 14,494.97 = 10,465 : x
  2. Step 2: Convert to fraction form
    10,581.64/14,494.97 = 10,465/x
  3. Step 3: Cross multiply
    10,581.64x = 14,494.97 × 10,465
  4. Step 4: Simplify right side
    10,581.64x = 151,689,861.05
  5. Step 5: Solve for x
    x = 151,689,861.05/10,581.64
  6. Step 6: Final answer
    x = 14,335.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.