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Finding the Fourth Proportional to 7,665.12, 10,580.04 and 4,833

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Solution

The fourth proportional to 7,665.12, 10,580.04 and 4,833 is: 6,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.12 : 10,580.04 = 4,833 : x
  2. Step 2: Convert to fraction form
    7,665.12/10,580.04 = 4,833/x
  3. Step 3: Cross multiply
    7,665.12x = 10,580.04 × 4,833
  4. Step 4: Simplify right side
    7,665.12x = 51,133,333.32
  5. Step 5: Solve for x
    x = 51,133,333.32/7,665.12
  6. Step 6: Final answer
    x = 6,670.91

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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.