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Finding the Fourth Proportional to 10,129.32, 13,989.24 and 7,713.45

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Solution

The fourth proportional to 10,129.32, 13,989.24 and 7,713.45 is: 10,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.32 : 13,989.24 = 7,713.45 : x
  2. Step 2: Convert to fraction form
    10,129.32/13,989.24 = 7,713.45/x
  3. Step 3: Cross multiply
    10,129.32x = 13,989.24 × 7,713.45
  4. Step 4: Simplify right side
    10,129.32x = 107,905,303.28
  5. Step 5: Solve for x
    x = 107,905,303.28/10,129.32
  6. Step 6: Final answer
    x = 10,652.77

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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.