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Finding the Fourth Proportional to 11,477.99, 15,840.77 and 7,004.74

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Solution

The fourth proportional to 11,477.99, 15,840.77 and 7,004.74 is: 9,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.99 : 15,840.77 = 7,004.74 : x
  2. Step 2: Convert to fraction form
    11,477.99/15,840.77 = 7,004.74/x
  3. Step 3: Cross multiply
    11,477.99x = 15,840.77 × 7,004.74
  4. Step 4: Simplify right side
    11,477.99x = 110,960,440.23
  5. Step 5: Solve for x
    x = 110,960,440.23/11,477.99
  6. Step 6: Final answer
    x = 9,667.24

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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.