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Finding the Fourth Proportional to 10,316.84, 14,212.01 and 7,475.81

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Solution

The fourth proportional to 10,316.84, 14,212.01 and 7,475.81 is: 10,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.84 : 14,212.01 = 7,475.81 : x
  2. Step 2: Convert to fraction form
    10,316.84/14,212.01 = 7,475.81/x
  3. Step 3: Cross multiply
    10,316.84x = 14,212.01 × 7,475.81
  4. Step 4: Simplify right side
    10,316.84x = 106,246,234.11
  5. Step 5: Solve for x
    x = 106,246,234.11/10,316.84
  6. Step 6: Final answer
    x = 10,298.34

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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.