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Finding the Fourth Proportional to 10,638.51, 15,958.86 and 4,070.22

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Solution

The fourth proportional to 10,638.51, 15,958.86 and 4,070.22 is: 6,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.51 : 15,958.86 = 4,070.22 : x
  2. Step 2: Convert to fraction form
    10,638.51/15,958.86 = 4,070.22/x
  3. Step 3: Cross multiply
    10,638.51x = 15,958.86 × 4,070.22
  4. Step 4: Simplify right side
    10,638.51x = 64,956,071.15
  5. Step 5: Solve for x
    x = 64,956,071.15/10,638.51
  6. Step 6: Final answer
    x = 6,105.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.