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Finding the Fourth Proportional to 10,352.93, 14,288.36 and 7,707.87

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Solution

The fourth proportional to 10,352.93, 14,288.36 and 7,707.87 is: 10,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.93 : 14,288.36 = 7,707.87 : x
  2. Step 2: Convert to fraction form
    10,352.93/14,288.36 = 7,707.87/x
  3. Step 3: Cross multiply
    10,352.93x = 14,288.36 × 7,707.87
  4. Step 4: Simplify right side
    10,352.93x = 110,132,782.85
  5. Step 5: Solve for x
    x = 110,132,782.85/10,352.93
  6. Step 6: Final answer
    x = 10,637.84

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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.