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Finding the Fourth Proportional to 7,970.50, 11,001.60 and 5,317.90

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Solution

The fourth proportional to 7,970.50, 11,001.60 and 5,317.90 is: 7,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.50 : 11,001.60 = 5,317.90 : x
  2. Step 2: Convert to fraction form
    7,970.50/11,001.60 = 5,317.90/x
  3. Step 3: Cross multiply
    7,970.50x = 11,001.60 × 5,317.90
  4. Step 4: Simplify right side
    7,970.50x = 58,505,381.14
  5. Step 5: Solve for x
    x = 58,505,381.14/7,970.50
  6. Step 6: Final answer
    x = 7,340.24

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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.