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Finding the Fourth Proportional to 7,848.07, 11,762.54 and 4,337.94

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Solution

The fourth proportional to 7,848.07, 11,762.54 and 4,337.94 is: 6,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.07 : 11,762.54 = 4,337.94 : x
  2. Step 2: Convert to fraction form
    7,848.07/11,762.54 = 4,337.94/x
  3. Step 3: Cross multiply
    7,848.07x = 11,762.54 × 4,337.94
  4. Step 4: Simplify right side
    7,848.07x = 51,025,177.49
  5. Step 5: Solve for x
    x = 51,025,177.49/7,848.07
  6. Step 6: Final answer
    x = 6,501.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.