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Finding the Fourth Proportional to 25,865.10, 38,798.07 and 8,335.02

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Solution

The fourth proportional to 25,865.10, 38,798.07 and 8,335.02 is: 12,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.10 : 38,798.07 = 8,335.02 : x
  2. Step 2: Convert to fraction form
    25,865.10/38,798.07 = 8,335.02/x
  3. Step 3: Cross multiply
    25,865.10x = 38,798.07 × 8,335.02
  4. Step 4: Simplify right side
    25,865.10x = 323,382,689.41
  5. Step 5: Solve for x
    x = 323,382,689.41/25,865.10
  6. Step 6: Final answer
    x = 12,502.67

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Why These Related Problems?

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