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Finding the Fourth Proportional to 10,527.84, 15,785.95 and 4,286.25

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Solution

The fourth proportional to 10,527.84, 15,785.95 and 4,286.25 is: 6,427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.84 : 15,785.95 = 4,286.25 : x
  2. Step 2: Convert to fraction form
    10,527.84/15,785.95 = 4,286.25/x
  3. Step 3: Cross multiply
    10,527.84x = 15,785.95 × 4,286.25
  4. Step 4: Simplify right side
    10,527.84x = 67,662,528.19
  5. Step 5: Solve for x
    x = 67,662,528.19/10,527.84
  6. Step 6: Final answer
    x = 6,427.01

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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.