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Finding the Fourth Proportional to 8,210.53, 11,329.85 and 4,853.48

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Solution

The fourth proportional to 8,210.53, 11,329.85 and 4,853.48 is: 6,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.53 : 11,329.85 = 4,853.48 : x
  2. Step 2: Convert to fraction form
    8,210.53/11,329.85 = 4,853.48/x
  3. Step 3: Cross multiply
    8,210.53x = 11,329.85 × 4,853.48
  4. Step 4: Simplify right side
    8,210.53x = 54,989,176.11
  5. Step 5: Solve for x
    x = 54,989,176.11/8,210.53
  6. Step 6: Final answer
    x = 6,697.40

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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.