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Finding the Fourth Proportional to 10,002.96, 13,779.36 and 8,506.08

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Solution

The fourth proportional to 10,002.96, 13,779.36 and 8,506.08 is: 11,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.96 : 13,779.36 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    10,002.96/13,779.36 = 8,506.08/x
  3. Step 3: Cross multiply
    10,002.96x = 13,779.36 × 8,506.08
  4. Step 4: Simplify right side
    10,002.96x = 117,208,338.51
  5. Step 5: Solve for x
    x = 117,208,338.51/10,002.96
  6. Step 6: Final answer
    x = 11,717.37

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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.