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Finding the Fourth Proportional to 10,567.34, 15,854.02 and 5,296

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Solution

The fourth proportional to 10,567.34, 15,854.02 and 5,296 is: 7,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.34 : 15,854.02 = 5,296 : x
  2. Step 2: Convert to fraction form
    10,567.34/15,854.02 = 5,296/x
  3. Step 3: Cross multiply
    10,567.34x = 15,854.02 × 5,296
  4. Step 4: Simplify right side
    10,567.34x = 83,962,889.92
  5. Step 5: Solve for x
    x = 83,962,889.92/10,567.34
  6. Step 6: Final answer
    x = 7,945.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.