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Finding the Fourth Proportional to 10,435.68, 14,401.25 and 5,655.62

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Solution

The fourth proportional to 10,435.68, 14,401.25 and 5,655.62 is: 7,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.68 : 14,401.25 = 5,655.62 : x
  2. Step 2: Convert to fraction form
    10,435.68/14,401.25 = 5,655.62/x
  3. Step 3: Cross multiply
    10,435.68x = 14,401.25 × 5,655.62
  4. Step 4: Simplify right side
    10,435.68x = 81,447,916.93
  5. Step 5: Solve for x
    x = 81,447,916.93/10,435.68
  6. Step 6: Final answer
    x = 7,804.75

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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.