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Finding the Fourth Proportional to 7,869.32, 11,802.16 and 2,323.04

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Solution

The fourth proportional to 7,869.32, 11,802.16 and 2,323.04 is: 3,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.32 : 11,802.16 = 2,323.04 : x
  2. Step 2: Convert to fraction form
    7,869.32/11,802.16 = 2,323.04/x
  3. Step 3: Cross multiply
    7,869.32x = 11,802.16 × 2,323.04
  4. Step 4: Simplify right side
    7,869.32x = 27,416,889.77
  5. Step 5: Solve for x
    x = 27,416,889.77/7,869.32
  6. Step 6: Final answer
    x = 3,484.02

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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.