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Finding the Fourth Proportional to 10,490.62, 14,477.16 and 5,775

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Solution

The fourth proportional to 10,490.62, 14,477.16 and 5,775 is: 7,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.62 : 14,477.16 = 5,775 : x
  2. Step 2: Convert to fraction form
    10,490.62/14,477.16 = 5,775/x
  3. Step 3: Cross multiply
    10,490.62x = 14,477.16 × 5,775
  4. Step 4: Simplify right side
    10,490.62x = 83,605,599
  5. Step 5: Solve for x
    x = 83,605,599/10,490.62
  6. Step 6: Final answer
    x = 7,969.56

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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.