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Finding the Fourth Proportional to 10,041.21, 13,856.72 and 5,503.86

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Solution

The fourth proportional to 10,041.21, 13,856.72 and 5,503.86 is: 7,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.21 : 13,856.72 = 5,503.86 : x
  2. Step 2: Convert to fraction form
    10,041.21/13,856.72 = 5,503.86/x
  3. Step 3: Cross multiply
    10,041.21x = 13,856.72 × 5,503.86
  4. Step 4: Simplify right side
    10,041.21x = 76,265,419.42
  5. Step 5: Solve for x
    x = 76,265,419.42/10,041.21
  6. Step 6: Final answer
    x = 7,595.24

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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.