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Finding the Fourth Proportional to 7,882.64, 10,878.36 and 4,526

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Solution

The fourth proportional to 7,882.64, 10,878.36 and 4,526 is: 6,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.64 : 10,878.36 = 4,526 : x
  2. Step 2: Convert to fraction form
    7,882.64/10,878.36 = 4,526/x
  3. Step 3: Cross multiply
    7,882.64x = 10,878.36 × 4,526
  4. Step 4: Simplify right side
    7,882.64x = 49,235,457.36
  5. Step 5: Solve for x
    x = 49,235,457.36/7,882.64
  6. Step 6: Final answer
    x = 6,246.06

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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.