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Finding the Fourth Proportional to 11,477.12, 15,837.90 and 7,000.16

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Solution

The fourth proportional to 11,477.12, 15,837.90 and 7,000.16 is: 9,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.12 : 15,837.90 = 7,000.16 : x
  2. Step 2: Convert to fraction form
    11,477.12/15,837.90 = 7,000.16/x
  3. Step 3: Cross multiply
    11,477.12x = 15,837.90 × 7,000.16
  4. Step 4: Simplify right side
    11,477.12x = 110,867,834.06
  5. Step 5: Solve for x
    x = 110,867,834.06/11,477.12
  6. Step 6: Final answer
    x = 9,659.90

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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.