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Finding the Fourth Proportional to 8,703.60, 13,055.16 and 2,464.08

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Solution

The fourth proportional to 8,703.60, 13,055.16 and 2,464.08 is: 3,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.60 : 13,055.16 = 2,464.08 : x
  2. Step 2: Convert to fraction form
    8,703.60/13,055.16 = 2,464.08/x
  3. Step 3: Cross multiply
    8,703.60x = 13,055.16 × 2,464.08
  4. Step 4: Simplify right side
    8,703.60x = 32,168,958.65
  5. Step 5: Solve for x
    x = 32,168,958.65/8,703.60
  6. Step 6: Final answer
    x = 3,696.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.