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Finding the Fourth Proportional to 8,460.50, 12,690.77 and 4,303.40

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Solution

The fourth proportional to 8,460.50, 12,690.77 and 4,303.40 is: 6,455.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.50 : 12,690.77 = 4,303.40 : x
  2. Step 2: Convert to fraction form
    8,460.50/12,690.77 = 4,303.40/x
  3. Step 3: Cross multiply
    8,460.50x = 12,690.77 × 4,303.40
  4. Step 4: Simplify right side
    8,460.50x = 54,613,374.65
  5. Step 5: Solve for x
    x = 54,613,374.65/8,460.50
  6. Step 6: Final answer
    x = 6,455.10

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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.