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Finding the Fourth Proportional to 10,709.76, 14,768.28 and 10,468.32

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Solution

The fourth proportional to 10,709.76, 14,768.28 and 10,468.32 is: 14,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.76 : 14,768.28 = 10,468.32 : x
  2. Step 2: Convert to fraction form
    10,709.76/14,768.28 = 10,468.32/x
  3. Step 3: Cross multiply
    10,709.76x = 14,768.28 × 10,468.32
  4. Step 4: Simplify right side
    10,709.76x = 154,599,080.89
  5. Step 5: Solve for x
    x = 154,599,080.89/10,709.76
  6. Step 6: Final answer
    x = 14,435.35

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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.