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Finding the Fourth Proportional to 10,387.64, 15,583.28 and 4,468.16

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Solution

The fourth proportional to 10,387.64, 15,583.28 and 4,468.16 is: 6,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.64 : 15,583.28 = 4,468.16 : x
  2. Step 2: Convert to fraction form
    10,387.64/15,583.28 = 4,468.16/x
  3. Step 3: Cross multiply
    10,387.64x = 15,583.28 × 4,468.16
  4. Step 4: Simplify right side
    10,387.64x = 69,628,588.36
  5. Step 5: Solve for x
    x = 69,628,588.36/10,387.64
  6. Step 6: Final answer
    x = 6,703.02

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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.