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Finding the Fourth Proportional to 10,361.70, 14,302.24 and 7,386.17

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Solution

The fourth proportional to 10,361.70, 14,302.24 and 7,386.17 is: 10,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.70 : 14,302.24 = 7,386.17 : x
  2. Step 2: Convert to fraction form
    10,361.70/14,302.24 = 7,386.17/x
  3. Step 3: Cross multiply
    10,361.70x = 14,302.24 × 7,386.17
  4. Step 4: Simplify right side
    10,361.70x = 105,638,686.04
  5. Step 5: Solve for x
    x = 105,638,686.04/10,361.70
  6. Step 6: Final answer
    x = 10,195.11

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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.