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Finding the Fourth Proportional to 7,762.02, 10,710.69 and 4,404.15

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Solution

The fourth proportional to 7,762.02, 10,710.69 and 4,404.15 is: 6,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.02 : 10,710.69 = 4,404.15 : x
  2. Step 2: Convert to fraction form
    7,762.02/10,710.69 = 4,404.15/x
  3. Step 3: Cross multiply
    7,762.02x = 10,710.69 × 4,404.15
  4. Step 4: Simplify right side
    7,762.02x = 47,171,485.36
  5. Step 5: Solve for x
    x = 47,171,485.36/7,762.02
  6. Step 6: Final answer
    x = 6,077.22

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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.