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Finding the Fourth Proportional to 11,393.84, 15,720 and 6,674.78

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Solution

The fourth proportional to 11,393.84, 15,720 and 6,674.78 is: 9,209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.84 : 15,720 = 6,674.78 : x
  2. Step 2: Convert to fraction form
    11,393.84/15,720 = 6,674.78/x
  3. Step 3: Cross multiply
    11,393.84x = 15,720 × 6,674.78
  4. Step 4: Simplify right side
    11,393.84x = 104,927,541.60
  5. Step 5: Solve for x
    x = 104,927,541.60/11,393.84
  6. Step 6: Final answer
    x = 9,209.15

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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.