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Finding the Fourth Proportional to 10,528.84, 14,529.36 and 5,748.40

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Solution

The fourth proportional to 10,528.84, 14,529.36 and 5,748.40 is: 7,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.84 : 14,529.36 = 5,748.40 : x
  2. Step 2: Convert to fraction form
    10,528.84/14,529.36 = 5,748.40/x
  3. Step 3: Cross multiply
    10,528.84x = 14,529.36 × 5,748.40
  4. Step 4: Simplify right side
    10,528.84x = 83,520,573.02
  5. Step 5: Solve for x
    x = 83,520,573.02/10,528.84
  6. Step 6: Final answer
    x = 7,932.55

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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.