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Finding the Fourth Proportional to 7,656.33, 11,457.14 and 6,001.50

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Solution

The fourth proportional to 7,656.33, 11,457.14 and 6,001.50 is: 8,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.33 : 11,457.14 = 6,001.50 : x
  2. Step 2: Convert to fraction form
    7,656.33/11,457.14 = 6,001.50/x
  3. Step 3: Cross multiply
    7,656.33x = 11,457.14 × 6,001.50
  4. Step 4: Simplify right side
    7,656.33x = 68,759,995.70
  5. Step 5: Solve for x
    x = 68,759,995.70/7,656.33
  6. Step 6: Final answer
    x = 8,980.80

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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.