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Finding the Fourth Proportional to 10,779.84, 14,878.08 and 10,287.36

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Solution

The fourth proportional to 10,779.84, 14,878.08 and 10,287.36 is: 14,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.84 : 14,878.08 = 10,287.36 : x
  2. Step 2: Convert to fraction form
    10,779.84/14,878.08 = 10,287.36/x
  3. Step 3: Cross multiply
    10,779.84x = 14,878.08 × 10,287.36
  4. Step 4: Simplify right side
    10,779.84x = 153,056,165.07
  5. Step 5: Solve for x
    x = 153,056,165.07/10,779.84
  6. Step 6: Final answer
    x = 14,198.37

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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.