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Finding the Fourth Proportional to 8,333.16, 11,502.66 and 5,357.16

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Solution

The fourth proportional to 8,333.16, 11,502.66 and 5,357.16 is: 7,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.16 : 11,502.66 = 5,357.16 : x
  2. Step 2: Convert to fraction form
    8,333.16/11,502.66 = 5,357.16/x
  3. Step 3: Cross multiply
    8,333.16x = 11,502.66 × 5,357.16
  4. Step 4: Simplify right side
    8,333.16x = 61,621,590.05
  5. Step 5: Solve for x
    x = 61,621,590.05/8,333.16
  6. Step 6: Final answer
    x = 7,394.74

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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.