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Finding the Fourth Proportional to 10,528.32, 14,528.96 and 5,748.32

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Solution

The fourth proportional to 10,528.32, 14,528.96 and 5,748.32 is: 7,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.32 : 14,528.96 = 5,748.32 : x
  2. Step 2: Convert to fraction form
    10,528.32/14,528.96 = 5,748.32/x
  3. Step 3: Cross multiply
    10,528.32x = 14,528.96 × 5,748.32
  4. Step 4: Simplify right side
    10,528.32x = 83,517,111.35
  5. Step 5: Solve for x
    x = 83,517,111.35/10,528.32
  6. Step 6: Final answer
    x = 7,932.62

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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.