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Finding the Fourth Proportional to 10,070.16, 13,900.56 and 8,648.14

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Solution

The fourth proportional to 10,070.16, 13,900.56 and 8,648.14 is: 11,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.16 : 13,900.56 = 8,648.14 : x
  2. Step 2: Convert to fraction form
    10,070.16/13,900.56 = 8,648.14/x
  3. Step 3: Cross multiply
    10,070.16x = 13,900.56 × 8,648.14
  4. Step 4: Simplify right side
    10,070.16x = 120,213,986.64
  5. Step 5: Solve for x
    x = 120,213,986.64/10,070.16
  6. Step 6: Final answer
    x = 11,937.64

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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.