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Finding the Fourth Proportional to 10,319.52, 14,235.72 and 6,536.34

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Solution

The fourth proportional to 10,319.52, 14,235.72 and 6,536.34 is: 9,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.52 : 14,235.72 = 6,536.34 : x
  2. Step 2: Convert to fraction form
    10,319.52/14,235.72 = 6,536.34/x
  3. Step 3: Cross multiply
    10,319.52x = 14,235.72 × 6,536.34
  4. Step 4: Simplify right side
    10,319.52x = 93,049,506.06
  5. Step 5: Solve for x
    x = 93,049,506.06/10,319.52
  6. Step 6: Final answer
    x = 9,016.84

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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.