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Finding the Fourth Proportional to 8,313.84, 11,476.08 and 7,130.16

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Solution

The fourth proportional to 8,313.84, 11,476.08 and 7,130.16 is: 9,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.84 : 11,476.08 = 7,130.16 : x
  2. Step 2: Convert to fraction form
    8,313.84/11,476.08 = 7,130.16/x
  3. Step 3: Cross multiply
    8,313.84x = 11,476.08 × 7,130.16
  4. Step 4: Simplify right side
    8,313.84x = 81,826,286.57
  5. Step 5: Solve for x
    x = 81,826,286.57/8,313.84
  6. Step 6: Final answer
    x = 9,842.18

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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.