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Finding the Fourth Proportional to 10,783.05, 14,872.59 and 9,521.88

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Solution

The fourth proportional to 10,783.05, 14,872.59 and 9,521.88 is: 13,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.05 : 14,872.59 = 9,521.88 : x
  2. Step 2: Convert to fraction form
    10,783.05/14,872.59 = 9,521.88/x
  3. Step 3: Cross multiply
    10,783.05x = 14,872.59 × 9,521.88
  4. Step 4: Simplify right side
    10,783.05x = 141,615,017.27
  5. Step 5: Solve for x
    x = 141,615,017.27/10,783.05
  6. Step 6: Final answer
    x = 13,133.11

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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.