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Finding the Fourth Proportional to 8,344.84, 11,507.70 and 7,032.28

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Solution

The fourth proportional to 8,344.84, 11,507.70 and 7,032.28 is: 9,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.84 : 11,507.70 = 7,032.28 : x
  2. Step 2: Convert to fraction form
    8,344.84/11,507.70 = 7,032.28/x
  3. Step 3: Cross multiply
    8,344.84x = 11,507.70 × 7,032.28
  4. Step 4: Simplify right side
    8,344.84x = 80,925,368.56
  5. Step 5: Solve for x
    x = 80,925,368.56/8,344.84
  6. Step 6: Final answer
    x = 9,697.65

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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.