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Finding the Fourth Proportional to 11,186.48, 15,436.10 and 6,710.42

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Solution

The fourth proportional to 11,186.48, 15,436.10 and 6,710.42 is: 9,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.48 : 15,436.10 = 6,710.42 : x
  2. Step 2: Convert to fraction form
    11,186.48/15,436.10 = 6,710.42/x
  3. Step 3: Cross multiply
    11,186.48x = 15,436.10 × 6,710.42
  4. Step 4: Simplify right side
    11,186.48x = 103,582,714.16
  5. Step 5: Solve for x
    x = 103,582,714.16/11,186.48
  6. Step 6: Final answer
    x = 9,259.63

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