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Finding the Fourth Proportional to 10,130.14, 13,978 and 5,653.68

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Solution

The fourth proportional to 10,130.14, 13,978 and 5,653.68 is: 7,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.14 : 13,978 = 5,653.68 : x
  2. Step 2: Convert to fraction form
    10,130.14/13,978 = 5,653.68/x
  3. Step 3: Cross multiply
    10,130.14x = 13,978 × 5,653.68
  4. Step 4: Simplify right side
    10,130.14x = 79,027,139.04
  5. Step 5: Solve for x
    x = 79,027,139.04/10,130.14
  6. Step 6: Final answer
    x = 7,801.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.