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Finding the Fourth Proportional to 11,291.08, 15,581.66 and 6,511

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Solution

The fourth proportional to 11,291.08, 15,581.66 and 6,511 is: 8,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.08 : 15,581.66 = 6,511 : x
  2. Step 2: Convert to fraction form
    11,291.08/15,581.66 = 6,511/x
  3. Step 3: Cross multiply
    11,291.08x = 15,581.66 × 6,511
  4. Step 4: Simplify right side
    11,291.08x = 101,452,188.26
  5. Step 5: Solve for x
    x = 101,452,188.26/11,291.08
  6. Step 6: Final answer
    x = 8,985.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.