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Finding the Fourth Proportional to 7,580.40, 10,451.52 and 6,323.28

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Solution

The fourth proportional to 7,580.40, 10,451.52 and 6,323.28 is: 8,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.40 : 10,451.52 = 6,323.28 : x
  2. Step 2: Convert to fraction form
    7,580.40/10,451.52 = 6,323.28/x
  3. Step 3: Cross multiply
    7,580.40x = 10,451.52 × 6,323.28
  4. Step 4: Simplify right side
    7,580.40x = 66,087,887.39
  5. Step 5: Solve for x
    x = 66,087,887.39/7,580.40
  6. Step 6: Final answer
    x = 8,718.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.