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Finding the Fourth Proportional to 10,436.74, 14,402.58 and 5,721.02

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Solution

The fourth proportional to 10,436.74, 14,402.58 and 5,721.02 is: 7,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.74 : 14,402.58 = 5,721.02 : x
  2. Step 2: Convert to fraction form
    10,436.74/14,402.58 = 5,721.02/x
  3. Step 3: Cross multiply
    10,436.74x = 14,402.58 × 5,721.02
  4. Step 4: Simplify right side
    10,436.74x = 82,397,448.23
  5. Step 5: Solve for x
    x = 82,397,448.23/10,436.74
  6. Step 6: Final answer
    x = 7,894.94

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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.