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Finding the Fourth Proportional to 10,365.94, 14,346.11 and 10,117.21

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Solution

The fourth proportional to 10,365.94, 14,346.11 and 10,117.21 is: 14,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.94 : 14,346.11 = 10,117.21 : x
  2. Step 2: Convert to fraction form
    10,365.94/14,346.11 = 10,117.21/x
  3. Step 3: Cross multiply
    10,365.94x = 14,346.11 × 10,117.21
  4. Step 4: Simplify right side
    10,365.94x = 145,142,607.55
  5. Step 5: Solve for x
    x = 145,142,607.55/10,365.94
  6. Step 6: Final answer
    x = 14,001.88

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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.