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Finding the Fourth Proportional to 7,852.17, 11,762.67 and 4,733.01

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Solution

The fourth proportional to 7,852.17, 11,762.67 and 4,733.01 is: 7,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.17 : 11,762.67 = 4,733.01 : x
  2. Step 2: Convert to fraction form
    7,852.17/11,762.67 = 4,733.01/x
  3. Step 3: Cross multiply
    7,852.17x = 11,762.67 × 4,733.01
  4. Step 4: Simplify right side
    7,852.17x = 55,672,834.74
  5. Step 5: Solve for x
    x = 55,672,834.74/7,852.17
  6. Step 6: Final answer
    x = 7,090.12

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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.