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Finding the Fourth Proportional to 10,188.46, 14,051.10 and 7,355.08

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Solution

The fourth proportional to 10,188.46, 14,051.10 and 7,355.08 is: 10,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.46 : 14,051.10 = 7,355.08 : x
  2. Step 2: Convert to fraction form
    10,188.46/14,051.10 = 7,355.08/x
  3. Step 3: Cross multiply
    10,188.46x = 14,051.10 × 7,355.08
  4. Step 4: Simplify right side
    10,188.46x = 103,346,964.59
  5. Step 5: Solve for x
    x = 103,346,964.59/10,188.46
  6. Step 6: Final answer
    x = 10,143.53

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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.