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Finding the Fourth Proportional to 10,412.80, 14,374.32 and 7,895.20

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Solution

The fourth proportional to 10,412.80, 14,374.32 and 7,895.20 is: 10,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.80 : 14,374.32 = 7,895.20 : x
  2. Step 2: Convert to fraction form
    10,412.80/14,374.32 = 7,895.20/x
  3. Step 3: Cross multiply
    10,412.80x = 14,374.32 × 7,895.20
  4. Step 4: Simplify right side
    10,412.80x = 113,488,131.26
  5. Step 5: Solve for x
    x = 113,488,131.26/10,412.80
  6. Step 6: Final answer
    x = 10,898.91

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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.