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Finding the Fourth Proportional to 7,802.86, 11,709.04 and 4,107.72

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Solution

The fourth proportional to 7,802.86, 11,709.04 and 4,107.72 is: 6,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.86 : 11,709.04 = 4,107.72 : x
  2. Step 2: Convert to fraction form
    7,802.86/11,709.04 = 4,107.72/x
  3. Step 3: Cross multiply
    7,802.86x = 11,709.04 × 4,107.72
  4. Step 4: Simplify right side
    7,802.86x = 48,097,457.79
  5. Step 5: Solve for x
    x = 48,097,457.79/7,802.86
  6. Step 6: Final answer
    x = 6,164.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.