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Finding the Fourth Proportional to 10,574.67, 14,572.94 and 7,742.91

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Solution

The fourth proportional to 10,574.67, 14,572.94 and 7,742.91 is: 10,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.67 : 14,572.94 = 7,742.91 : x
  2. Step 2: Convert to fraction form
    10,574.67/14,572.94 = 7,742.91/x
  3. Step 3: Cross multiply
    10,574.67x = 14,572.94 × 7,742.91
  4. Step 4: Simplify right side
    10,574.67x = 112,836,924.14
  5. Step 5: Solve for x
    x = 112,836,924.14/10,574.67
  6. Step 6: Final answer
    x = 10,670.49

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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.