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Finding the Fourth Proportional to 11,652.66, 17,465.12 and 6,712.07

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Solution

The fourth proportional to 11,652.66, 17,465.12 and 6,712.07 is: 10,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.66 : 17,465.12 = 6,712.07 : x
  2. Step 2: Convert to fraction form
    11,652.66/17,465.12 = 6,712.07/x
  3. Step 3: Cross multiply
    11,652.66x = 17,465.12 × 6,712.07
  4. Step 4: Simplify right side
    11,652.66x = 117,226,987.11
  5. Step 5: Solve for x
    x = 117,226,987.11/11,652.66
  6. Step 6: Final answer
    x = 10,060.11

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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.