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Finding the Fourth Proportional to 10,707.21, 14,775.93 and 6,515.46

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Solution

The fourth proportional to 10,707.21, 14,775.93 and 6,515.46 is: 8,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.21 : 14,775.93 = 6,515.46 : x
  2. Step 2: Convert to fraction form
    10,707.21/14,775.93 = 6,515.46/x
  3. Step 3: Cross multiply
    10,707.21x = 14,775.93 × 6,515.46
  4. Step 4: Simplify right side
    10,707.21x = 96,271,980.88
  5. Step 5: Solve for x
    x = 96,271,980.88/10,707.21
  6. Step 6: Final answer
    x = 8,991.32

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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.