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Finding the Fourth Proportional to 7,873.32, 10,864.93 and 4,685.89

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Solution

The fourth proportional to 7,873.32, 10,864.93 and 4,685.89 is: 6,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.32 : 10,864.93 = 4,685.89 : x
  2. Step 2: Convert to fraction form
    7,873.32/10,864.93 = 4,685.89/x
  3. Step 3: Cross multiply
    7,873.32x = 10,864.93 × 4,685.89
  4. Step 4: Simplify right side
    7,873.32x = 50,911,866.84
  5. Step 5: Solve for x
    x = 50,911,866.84/7,873.32
  6. Step 6: Final answer
    x = 6,466.38

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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.