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Finding the Fourth Proportional to 8,390.69, 12,585.22 and 2,547.35

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Solution

The fourth proportional to 8,390.69, 12,585.22 and 2,547.35 is: 3,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.69 : 12,585.22 = 2,547.35 : x
  2. Step 2: Convert to fraction form
    8,390.69/12,585.22 = 2,547.35/x
  3. Step 3: Cross multiply
    8,390.69x = 12,585.22 × 2,547.35
  4. Step 4: Simplify right side
    8,390.69x = 32,058,884.50
  5. Step 5: Solve for x
    x = 32,058,884.50/8,390.69
  6. Step 6: Final answer
    x = 3,820.77

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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.