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Finding the Fourth Proportional to 10,142.99, 15,214.23 and 4,592.31

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Solution

The fourth proportional to 10,142.99, 15,214.23 and 4,592.31 is: 6,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.99 : 15,214.23 = 4,592.31 : x
  2. Step 2: Convert to fraction form
    10,142.99/15,214.23 = 4,592.31/x
  3. Step 3: Cross multiply
    10,142.99x = 15,214.23 × 4,592.31
  4. Step 4: Simplify right side
    10,142.99x = 69,868,460.57
  5. Step 5: Solve for x
    x = 69,868,460.57/10,142.99
  6. Step 6: Final answer
    x = 6,888.35

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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.