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Finding the Fourth Proportional to 10,098.45, 15,148.53 and 3,077.84

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Solution

The fourth proportional to 10,098.45, 15,148.53 and 3,077.84 is: 4,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.45 : 15,148.53 = 3,077.84 : x
  2. Step 2: Convert to fraction form
    10,098.45/15,148.53 = 3,077.84/x
  3. Step 3: Cross multiply
    10,098.45x = 15,148.53 × 3,077.84
  4. Step 4: Simplify right side
    10,098.45x = 46,624,751.58
  5. Step 5: Solve for x
    x = 46,624,751.58/10,098.45
  6. Step 6: Final answer
    x = 4,617.02

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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.