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Finding the Fourth Proportional to 10,154.77, 15,230.28 and 4,606.78

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Solution

The fourth proportional to 10,154.77, 15,230.28 and 4,606.78 is: 6,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.77 : 15,230.28 = 4,606.78 : x
  2. Step 2: Convert to fraction form
    10,154.77/15,230.28 = 4,606.78/x
  3. Step 3: Cross multiply
    10,154.77x = 15,230.28 × 4,606.78
  4. Step 4: Simplify right side
    10,154.77x = 70,162,549.30
  5. Step 5: Solve for x
    x = 70,162,549.30/10,154.77
  6. Step 6: Final answer
    x = 6,909.32

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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.