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Finding the Fourth Proportional to 10,563.44, 15,838.68 and 4,712

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Solution

The fourth proportional to 10,563.44, 15,838.68 and 4,712 is: 7,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.44 : 15,838.68 = 4,712 : x
  2. Step 2: Convert to fraction form
    10,563.44/15,838.68 = 4,712/x
  3. Step 3: Cross multiply
    10,563.44x = 15,838.68 × 4,712
  4. Step 4: Simplify right side
    10,563.44x = 74,631,860.16
  5. Step 5: Solve for x
    x = 74,631,860.16/10,563.44
  6. Step 6: Final answer
    x = 7,065.11

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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.