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Finding the Fourth Proportional to 7,802.40, 11,700.36 and 2,607.24

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Solution

The fourth proportional to 7,802.40, 11,700.36 and 2,607.24 is: 3,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.40 : 11,700.36 = 2,607.24 : x
  2. Step 2: Convert to fraction form
    7,802.40/11,700.36 = 2,607.24/x
  3. Step 3: Cross multiply
    7,802.40x = 11,700.36 × 2,607.24
  4. Step 4: Simplify right side
    7,802.40x = 30,505,646.61
  5. Step 5: Solve for x
    x = 30,505,646.61/7,802.40
  6. Step 6: Final answer
    x = 3,909.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.