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Finding the Fourth Proportional to 10,437.84, 15,661.08 and 4,286.16

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Solution

The fourth proportional to 10,437.84, 15,661.08 and 4,286.16 is: 6,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.84 : 15,661.08 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    10,437.84/15,661.08 = 4,286.16/x
  3. Step 3: Cross multiply
    10,437.84x = 15,661.08 × 4,286.16
  4. Step 4: Simplify right side
    10,437.84x = 67,125,894.65
  5. Step 5: Solve for x
    x = 67,125,894.65/10,437.84
  6. Step 6: Final answer
    x = 6,431.01

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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.