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Finding the Fourth Proportional to 7,056.64, 10,585.28 and 3,934.28

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Solution

The fourth proportional to 7,056.64, 10,585.28 and 3,934.28 is: 5,901.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.64 : 10,585.28 = 3,934.28 : x
  2. Step 2: Convert to fraction form
    7,056.64/10,585.28 = 3,934.28/x
  3. Step 3: Cross multiply
    7,056.64x = 10,585.28 × 3,934.28
  4. Step 4: Simplify right side
    7,056.64x = 41,645,455.40
  5. Step 5: Solve for x
    x = 41,645,455.40/7,056.64
  6. Step 6: Final answer
    x = 5,901.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.