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Finding the Fourth Proportional to 10,362.35, 14,300.04 and 5,646.63

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Solution

The fourth proportional to 10,362.35, 14,300.04 and 5,646.63 is: 7,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.35 : 14,300.04 = 5,646.63 : x
  2. Step 2: Convert to fraction form
    10,362.35/14,300.04 = 5,646.63/x
  3. Step 3: Cross multiply
    10,362.35x = 14,300.04 × 5,646.63
  4. Step 4: Simplify right side
    10,362.35x = 80,747,034.87
  5. Step 5: Solve for x
    x = 80,747,034.87/10,362.35
  6. Step 6: Final answer
    x = 7,792.35

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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.