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Finding the Fourth Proportional to 8,019.42, 11,068.70 and 4,875

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Solution

The fourth proportional to 8,019.42, 11,068.70 and 4,875 is: 6,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.42 : 11,068.70 = 4,875 : x
  2. Step 2: Convert to fraction form
    8,019.42/11,068.70 = 4,875/x
  3. Step 3: Cross multiply
    8,019.42x = 11,068.70 × 4,875
  4. Step 4: Simplify right side
    8,019.42x = 53,959,888.13
  5. Step 5: Solve for x
    x = 53,959,888.13/8,019.42
  6. Step 6: Final answer
    x = 6,728.65

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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.