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Finding the Fourth Proportional to 10,149.95, 15,225.48 and 4,603.71

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Solution

The fourth proportional to 10,149.95, 15,225.48 and 4,603.71 is: 6,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.95 : 15,225.48 = 4,603.71 : x
  2. Step 2: Convert to fraction form
    10,149.95/15,225.48 = 4,603.71/x
  3. Step 3: Cross multiply
    10,149.95x = 15,225.48 × 4,603.71
  4. Step 4: Simplify right side
    10,149.95x = 70,093,694.53
  5. Step 5: Solve for x
    x = 70,093,694.53/10,149.95
  6. Step 6: Final answer
    x = 6,905.82

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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.