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Finding the Fourth Proportional to 7,387.84, 11,096.16 and 6,347.52

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Solution

The fourth proportional to 7,387.84, 11,096.16 and 6,347.52 is: 9,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.84 : 11,096.16 = 6,347.52 : x
  2. Step 2: Convert to fraction form
    7,387.84/11,096.16 = 6,347.52/x
  3. Step 3: Cross multiply
    7,387.84x = 11,096.16 × 6,347.52
  4. Step 4: Simplify right side
    7,387.84x = 70,433,097.52
  5. Step 5: Solve for x
    x = 70,433,097.52/7,387.84
  6. Step 6: Final answer
    x = 9,533.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.