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Finding the Fourth Proportional to 7,802.32, 11,703.50 and 2,256.11

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Solution

The fourth proportional to 7,802.32, 11,703.50 and 2,256.11 is: 3,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.32 : 11,703.50 = 2,256.11 : x
  2. Step 2: Convert to fraction form
    7,802.32/11,703.50 = 2,256.11/x
  3. Step 3: Cross multiply
    7,802.32x = 11,703.50 × 2,256.11
  4. Step 4: Simplify right side
    7,802.32x = 26,404,372.10
  5. Step 5: Solve for x
    x = 26,404,372.10/7,802.32
  6. Step 6: Final answer
    x = 3,384.17

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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.