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Finding the Fourth Proportional to 7,602.65, 11,407.38 and 4,828.58

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Solution

The fourth proportional to 7,602.65, 11,407.38 and 4,828.58 is: 7,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.65 : 11,407.38 = 4,828.58 : x
  2. Step 2: Convert to fraction form
    7,602.65/11,407.38 = 4,828.58/x
  3. Step 3: Cross multiply
    7,602.65x = 11,407.38 × 4,828.58
  4. Step 4: Simplify right side
    7,602.65x = 55,081,389.88
  5. Step 5: Solve for x
    x = 55,081,389.88/7,602.65
  6. Step 6: Final answer
    x = 7,245.03

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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.