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Finding the Fourth Proportional to 10,388.16, 14,335.66 and 5,672.45

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Solution

The fourth proportional to 10,388.16, 14,335.66 and 5,672.45 is: 7,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.16 : 14,335.66 = 5,672.45 : x
  2. Step 2: Convert to fraction form
    10,388.16/14,335.66 = 5,672.45/x
  3. Step 3: Cross multiply
    10,388.16x = 14,335.66 × 5,672.45
  4. Step 4: Simplify right side
    10,388.16x = 81,318,314.57
  5. Step 5: Solve for x
    x = 81,318,314.57/10,388.16
  6. Step 6: Final answer
    x = 7,827.98

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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.