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Finding the Fourth Proportional to 10,346.14, 15,507.05 and 4,787.74

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Solution

The fourth proportional to 10,346.14, 15,507.05 and 4,787.74 is: 7,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.14 : 15,507.05 = 4,787.74 : x
  2. Step 2: Convert to fraction form
    10,346.14/15,507.05 = 4,787.74/x
  3. Step 3: Cross multiply
    10,346.14x = 15,507.05 × 4,787.74
  4. Step 4: Simplify right side
    10,346.14x = 74,243,723.57
  5. Step 5: Solve for x
    x = 74,243,723.57/10,346.14
  6. Step 6: Final answer
    x = 7,175.98

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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.