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Finding the Fourth Proportional to 7,592.81, 10,477.56 and 4,406.20

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Solution

The fourth proportional to 7,592.81, 10,477.56 and 4,406.20 is: 6,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.81 : 10,477.56 = 4,406.20 : x
  2. Step 2: Convert to fraction form
    7,592.81/10,477.56 = 4,406.20/x
  3. Step 3: Cross multiply
    7,592.81x = 10,477.56 × 4,406.20
  4. Step 4: Simplify right side
    7,592.81x = 46,166,224.87
  5. Step 5: Solve for x
    x = 46,166,224.87/7,592.81
  6. Step 6: Final answer
    x = 6,080.26

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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.