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Finding the Fourth Proportional to 10,404.12, 14,357.28 and 5,688.48

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Solution

The fourth proportional to 10,404.12, 14,357.28 and 5,688.48 is: 7,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.12 : 14,357.28 = 5,688.48 : x
  2. Step 2: Convert to fraction form
    10,404.12/14,357.28 = 5,688.48/x
  3. Step 3: Cross multiply
    10,404.12x = 14,357.28 × 5,688.48
  4. Step 4: Simplify right side
    10,404.12x = 81,671,100.13
  5. Step 5: Solve for x
    x = 81,671,100.13/10,404.12
  6. Step 6: Final answer
    x = 7,849.88

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