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Finding the Fourth Proportional to 10,564.68, 14,574.69 and 6,370.50

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Solution

The fourth proportional to 10,564.68, 14,574.69 and 6,370.50 is: 8,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.68 : 14,574.69 = 6,370.50 : x
  2. Step 2: Convert to fraction form
    10,564.68/14,574.69 = 6,370.50/x
  3. Step 3: Cross multiply
    10,564.68x = 14,574.69 × 6,370.50
  4. Step 4: Simplify right side
    10,564.68x = 92,848,062.65
  5. Step 5: Solve for x
    x = 92,848,062.65/10,564.68
  6. Step 6: Final answer
    x = 8,788.54

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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.