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Finding the Fourth Proportional to 8,357.84, 11,538.12 and 5,710.16

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Solution

The fourth proportional to 8,357.84, 11,538.12 and 5,710.16 is: 7,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.84 : 11,538.12 = 5,710.16 : x
  2. Step 2: Convert to fraction form
    8,357.84/11,538.12 = 5,710.16/x
  3. Step 3: Cross multiply
    8,357.84x = 11,538.12 × 5,710.16
  4. Step 4: Simplify right side
    8,357.84x = 65,884,511.30
  5. Step 5: Solve for x
    x = 65,884,511.30/8,357.84
  6. Step 6: Final answer
    x = 7,882.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.