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Finding the Fourth Proportional to 10,423.53, 14,384.48 and 5,708.10

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Solution

The fourth proportional to 10,423.53, 14,384.48 and 5,708.10 is: 7,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.53 : 14,384.48 = 5,708.10 : x
  2. Step 2: Convert to fraction form
    10,423.53/14,384.48 = 5,708.10/x
  3. Step 3: Cross multiply
    10,423.53x = 14,384.48 × 5,708.10
  4. Step 4: Simplify right side
    10,423.53x = 82,108,021.75
  5. Step 5: Solve for x
    x = 82,108,021.75/10,423.53
  6. Step 6: Final answer
    x = 7,877.18

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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.