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Finding the Fourth Proportional to 10,476.42, 14,458.08 and 6,001.56

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Solution

The fourth proportional to 10,476.42, 14,458.08 and 6,001.56 is: 8,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.42 : 14,458.08 = 6,001.56 : x
  2. Step 2: Convert to fraction form
    10,476.42/14,458.08 = 6,001.56/x
  3. Step 3: Cross multiply
    10,476.42x = 14,458.08 × 6,001.56
  4. Step 4: Simplify right side
    10,476.42x = 86,771,034.60
  5. Step 5: Solve for x
    x = 86,771,034.60/10,476.42
  6. Step 6: Final answer
    x = 8,282.51

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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.