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Finding the Fourth Proportional to 10,429.95, 15,647.51 and 3,034.48

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Solution

The fourth proportional to 10,429.95, 15,647.51 and 3,034.48 is: 4,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.95 : 15,647.51 = 3,034.48 : x
  2. Step 2: Convert to fraction form
    10,429.95/15,647.51 = 3,034.48/x
  3. Step 3: Cross multiply
    10,429.95x = 15,647.51 × 3,034.48
  4. Step 4: Simplify right side
    10,429.95x = 47,482,056.14
  5. Step 5: Solve for x
    x = 47,482,056.14/10,429.95
  6. Step 6: Final answer
    x = 4,552.47

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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.