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Finding the Fourth Proportional to 10,362.62, 14,300.52 and 5,646.98

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Solution

The fourth proportional to 10,362.62, 14,300.52 and 5,646.98 is: 7,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.62 : 14,300.52 = 5,646.98 : x
  2. Step 2: Convert to fraction form
    10,362.62/14,300.52 = 5,646.98/x
  3. Step 3: Cross multiply
    10,362.62x = 14,300.52 × 5,646.98
  4. Step 4: Simplify right side
    10,362.62x = 80,754,750.43
  5. Step 5: Solve for x
    x = 80,754,750.43/10,362.62
  6. Step 6: Final answer
    x = 7,792.89

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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.