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Finding the Fourth Proportional to 10,574.18, 14,592.29 and 6,097.89

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Solution

The fourth proportional to 10,574.18, 14,592.29 and 6,097.89 is: 8,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.18 : 14,592.29 = 6,097.89 : x
  2. Step 2: Convert to fraction form
    10,574.18/14,592.29 = 6,097.89/x
  3. Step 3: Cross multiply
    10,574.18x = 14,592.29 × 6,097.89
  4. Step 4: Simplify right side
    10,574.18x = 88,982,148.78
  5. Step 5: Solve for x
    x = 88,982,148.78/10,574.18
  6. Step 6: Final answer
    x = 8,415.04

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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.