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Finding the Fourth Proportional to 13,089, 18,062.68 and 7,783.70

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Solution

The fourth proportional to 13,089, 18,062.68 and 7,783.70 is: 10,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 18,062.68 = 7,783.70 : x
  2. Step 2: Convert to fraction form
    13,089/18,062.68 = 7,783.70/x
  3. Step 3: Cross multiply
    13,089x = 18,062.68 × 7,783.70
  4. Step 4: Simplify right side
    13,089x = 140,594,482.32
  5. Step 5: Solve for x
    x = 140,594,482.32/13,089
  6. Step 6: Final answer
    x = 10,741.42

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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.