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Finding the Fourth Proportional to 10,389.34, 14,337.08 and 5,673.66

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Solution

The fourth proportional to 10,389.34, 14,337.08 and 5,673.66 is: 7,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.34 : 14,337.08 = 5,673.66 : x
  2. Step 2: Convert to fraction form
    10,389.34/14,337.08 = 5,673.66/x
  3. Step 3: Cross multiply
    10,389.34x = 14,337.08 × 5,673.66
  4. Step 4: Simplify right side
    10,389.34x = 81,343,717.31
  5. Step 5: Solve for x
    x = 81,343,717.31/10,389.34
  6. Step 6: Final answer
    x = 7,829.54

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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.