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Finding the Fourth Proportional to 10,155.76, 15,228.01 and 4,156.05

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Solution

The fourth proportional to 10,155.76, 15,228.01 and 4,156.05 is: 6,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.76 : 15,228.01 = 4,156.05 : x
  2. Step 2: Convert to fraction form
    10,155.76/15,228.01 = 4,156.05/x
  3. Step 3: Cross multiply
    10,155.76x = 15,228.01 × 4,156.05
  4. Step 4: Simplify right side
    10,155.76x = 63,288,312.11
  5. Step 5: Solve for x
    x = 63,288,312.11/10,155.76
  6. Step 6: Final answer
    x = 6,231.77

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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.