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Finding the Fourth Proportional to 10,527.52, 14,530.98 and 6,546.64

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Solution

The fourth proportional to 10,527.52, 14,530.98 and 6,546.64 is: 9,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.52 : 14,530.98 = 6,546.64 : x
  2. Step 2: Convert to fraction form
    10,527.52/14,530.98 = 6,546.64/x
  3. Step 3: Cross multiply
    10,527.52x = 14,530.98 × 6,546.64
  4. Step 4: Simplify right side
    10,527.52x = 95,129,094.91
  5. Step 5: Solve for x
    x = 95,129,094.91/10,527.52
  6. Step 6: Final answer
    x = 9,036.23

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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.