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Finding the Fourth Proportional to 10,142.62, 15,215.73 and 4,595.74

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Solution

The fourth proportional to 10,142.62, 15,215.73 and 4,595.74 is: 6,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.62 : 15,215.73 = 4,595.74 : x
  2. Step 2: Convert to fraction form
    10,142.62/15,215.73 = 4,595.74/x
  3. Step 3: Cross multiply
    10,142.62x = 15,215.73 × 4,595.74
  4. Step 4: Simplify right side
    10,142.62x = 69,927,538.99
  5. Step 5: Solve for x
    x = 69,927,538.99/10,142.62
  6. Step 6: Final answer
    x = 6,894.43

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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.