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Finding the Fourth Proportional to 11,116.68, 15,337.72 and 6,400.84

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Solution

The fourth proportional to 11,116.68, 15,337.72 and 6,400.84 is: 8,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.68 : 15,337.72 = 6,400.84 : x
  2. Step 2: Convert to fraction form
    11,116.68/15,337.72 = 6,400.84/x
  3. Step 3: Cross multiply
    11,116.68x = 15,337.72 × 6,400.84
  4. Step 4: Simplify right side
    11,116.68x = 98,174,291.68
  5. Step 5: Solve for x
    x = 98,174,291.68/11,116.68
  6. Step 6: Final answer
    x = 8,831.26

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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.