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Finding the Fourth Proportional to 10,522.32, 15,783.48 and 8,802.96

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Solution

The fourth proportional to 10,522.32, 15,783.48 and 8,802.96 is: 13,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.32 : 15,783.48 = 8,802.96 : x
  2. Step 2: Convert to fraction form
    10,522.32/15,783.48 = 8,802.96/x
  3. Step 3: Cross multiply
    10,522.32x = 15,783.48 × 8,802.96
  4. Step 4: Simplify right side
    10,522.32x = 138,941,343.10
  5. Step 5: Solve for x
    x = 138,941,343.10/10,522.32
  6. Step 6: Final answer
    x = 13,204.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.