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Finding the Fourth Proportional to 10,281.32, 14,187.54 and 5,743.94

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Solution

The fourth proportional to 10,281.32, 14,187.54 and 5,743.94 is: 7,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.32 : 14,187.54 = 5,743.94 : x
  2. Step 2: Convert to fraction form
    10,281.32/14,187.54 = 5,743.94/x
  3. Step 3: Cross multiply
    10,281.32x = 14,187.54 × 5,743.94
  4. Step 4: Simplify right side
    10,281.32x = 81,492,378.51
  5. Step 5: Solve for x
    x = 81,492,378.51/10,281.32
  6. Step 6: Final answer
    x = 7,926.26

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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.