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Finding the Fourth Proportional to 10,290.68, 14,186.59 and 7,305.42

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Solution

The fourth proportional to 10,290.68, 14,186.59 and 7,305.42 is: 10,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.68 : 14,186.59 = 7,305.42 : x
  2. Step 2: Convert to fraction form
    10,290.68/14,186.59 = 7,305.42/x
  3. Step 3: Cross multiply
    10,290.68x = 14,186.59 × 7,305.42
  4. Step 4: Simplify right side
    10,290.68x = 103,639,074.35
  5. Step 5: Solve for x
    x = 103,639,074.35/10,290.68
  6. Step 6: Final answer
    x = 10,071.16

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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.