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Finding the Fourth Proportional to 10,431.71, 15,636.63 and 4,880.38

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Solution

The fourth proportional to 10,431.71, 15,636.63 and 4,880.38 is: 7,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.71 : 15,636.63 = 4,880.38 : x
  2. Step 2: Convert to fraction form
    10,431.71/15,636.63 = 4,880.38/x
  3. Step 3: Cross multiply
    10,431.71x = 15,636.63 × 4,880.38
  4. Step 4: Simplify right side
    10,431.71x = 76,312,618.14
  5. Step 5: Solve for x
    x = 76,312,618.14/10,431.71
  6. Step 6: Final answer
    x = 7,315.45

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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.