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Finding the Fourth Proportional to 10,720.56, 14,854.20 and 10,478.64

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Solution

The fourth proportional to 10,720.56, 14,854.20 and 10,478.64 is: 14,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.56 : 14,854.20 = 10,478.64 : x
  2. Step 2: Convert to fraction form
    10,720.56/14,854.20 = 10,478.64/x
  3. Step 3: Cross multiply
    10,720.56x = 14,854.20 × 10,478.64
  4. Step 4: Simplify right side
    10,720.56x = 155,651,814.29
  5. Step 5: Solve for x
    x = 155,651,814.29/10,720.56
  6. Step 6: Final answer
    x = 14,519.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.