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Finding the Fourth Proportional to 10,666.69, 14,723.10 and 7,140.15

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Solution

The fourth proportional to 10,666.69, 14,723.10 and 7,140.15 is: 9,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.69 : 14,723.10 = 7,140.15 : x
  2. Step 2: Convert to fraction form
    10,666.69/14,723.10 = 7,140.15/x
  3. Step 3: Cross multiply
    10,666.69x = 14,723.10 × 7,140.15
  4. Step 4: Simplify right side
    10,666.69x = 105,125,142.47
  5. Step 5: Solve for x
    x = 105,125,142.47/10,666.69
  6. Step 6: Final answer
    x = 9,855.46

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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.