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Finding the Fourth Proportional to 10,569.69, 14,592.15 and 7,217.37

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Solution

The fourth proportional to 10,569.69, 14,592.15 and 7,217.37 is: 9,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.69 : 14,592.15 = 7,217.37 : x
  2. Step 2: Convert to fraction form
    10,569.69/14,592.15 = 7,217.37/x
  3. Step 3: Cross multiply
    10,569.69x = 14,592.15 × 7,217.37
  4. Step 4: Simplify right side
    10,569.69x = 105,316,945.65
  5. Step 5: Solve for x
    x = 105,316,945.65/10,569.69
  6. Step 6: Final answer
    x = 9,964.05

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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.