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Finding the Fourth Proportional to 10,154.16, 15,230.84 and 3,580.40

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Solution

The fourth proportional to 10,154.16, 15,230.84 and 3,580.40 is: 5,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.16 : 15,230.84 = 3,580.40 : x
  2. Step 2: Convert to fraction form
    10,154.16/15,230.84 = 3,580.40/x
  3. Step 3: Cross multiply
    10,154.16x = 15,230.84 × 3,580.40
  4. Step 4: Simplify right side
    10,154.16x = 54,532,519.71
  5. Step 5: Solve for x
    x = 54,532,519.71/10,154.16
  6. Step 6: Final answer
    x = 5,370.46

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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.