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Finding the Fourth Proportional to 13,088.06, 18,055.14 and 7,779.12

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Solution

The fourth proportional to 13,088.06, 18,055.14 and 7,779.12 is: 10,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.06 : 18,055.14 = 7,779.12 : x
  2. Step 2: Convert to fraction form
    13,088.06/18,055.14 = 7,779.12/x
  3. Step 3: Cross multiply
    13,088.06x = 18,055.14 × 7,779.12
  4. Step 4: Simplify right side
    13,088.06x = 140,453,100.68
  5. Step 5: Solve for x
    x = 140,453,100.68/13,088.06
  6. Step 6: Final answer
    x = 10,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.