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Finding the Fourth Proportional to 13,088.96, 18,055.88 and 7,780

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Solution

The fourth proportional to 13,088.96, 18,055.88 and 7,780 is: 10,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.96 : 18,055.88 = 7,780 : x
  2. Step 2: Convert to fraction form
    13,088.96/18,055.88 = 7,780/x
  3. Step 3: Cross multiply
    13,088.96x = 18,055.88 × 7,780
  4. Step 4: Simplify right side
    13,088.96x = 140,474,746.40
  5. Step 5: Solve for x
    x = 140,474,746.40/13,088.96
  6. Step 6: Final answer
    x = 10,732.31

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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.