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Finding the Fourth Proportional to 10,458.56, 15,696.48 and 4,306.88

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Solution

The fourth proportional to 10,458.56, 15,696.48 and 4,306.88 is: 6,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.56 : 15,696.48 = 4,306.88 : x
  2. Step 2: Convert to fraction form
    10,458.56/15,696.48 = 4,306.88/x
  3. Step 3: Cross multiply
    10,458.56x = 15,696.48 × 4,306.88
  4. Step 4: Simplify right side
    10,458.56x = 67,602,855.78
  5. Step 5: Solve for x
    x = 67,602,855.78/10,458.56
  6. Step 6: Final answer
    x = 6,463.88

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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.