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Finding the Fourth Proportional to 10,423.89, 14,386.41 and 5,948.03

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Solution

The fourth proportional to 10,423.89, 14,386.41 and 5,948.03 is: 8,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.89 : 14,386.41 = 5,948.03 : x
  2. Step 2: Convert to fraction form
    10,423.89/14,386.41 = 5,948.03/x
  3. Step 3: Cross multiply
    10,423.89x = 14,386.41 × 5,948.03
  4. Step 4: Simplify right side
    10,423.89x = 85,570,834.24
  5. Step 5: Solve for x
    x = 85,570,834.24/10,423.89
  6. Step 6: Final answer
    x = 8,209.11

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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.