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Finding the Fourth Proportional to 7,677.47, 10,594.89 and 4,320.29

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Solution

The fourth proportional to 7,677.47, 10,594.89 and 4,320.29 is: 5,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.47 : 10,594.89 = 4,320.29 : x
  2. Step 2: Convert to fraction form
    7,677.47/10,594.89 = 4,320.29/x
  3. Step 3: Cross multiply
    7,677.47x = 10,594.89 × 4,320.29
  4. Step 4: Simplify right side
    7,677.47x = 45,772,997.32
  5. Step 5: Solve for x
    x = 45,772,997.32/7,677.47
  6. Step 6: Final answer
    x = 5,961.99

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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.