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Finding the Fourth Proportional to 10,088.30, 13,906.68 and 7,960.16

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Solution

The fourth proportional to 10,088.30, 13,906.68 and 7,960.16 is: 10,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.30 : 13,906.68 = 7,960.16 : x
  2. Step 2: Convert to fraction form
    10,088.30/13,906.68 = 7,960.16/x
  3. Step 3: Cross multiply
    10,088.30x = 13,906.68 × 7,960.16
  4. Step 4: Simplify right side
    10,088.30x = 110,699,397.87
  5. Step 5: Solve for x
    x = 110,699,397.87/10,088.30
  6. Step 6: Final answer
    x = 10,973.05

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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.