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Finding the Fourth Proportional to 10,070.66, 13,848.21 and 8,742.03

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Solution

The fourth proportional to 10,070.66, 13,848.21 and 8,742.03 is: 12,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.66 : 13,848.21 = 8,742.03 : x
  2. Step 2: Convert to fraction form
    10,070.66/13,848.21 = 8,742.03/x
  3. Step 3: Cross multiply
    10,070.66x = 13,848.21 × 8,742.03
  4. Step 4: Simplify right side
    10,070.66x = 121,061,467.27
  5. Step 5: Solve for x
    x = 121,061,467.27/10,070.66
  6. Step 6: Final answer
    x = 12,021.21

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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.