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Finding the Fourth Proportional to 8,470.72, 12,698.52 and 4,308.40

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Solution

The fourth proportional to 8,470.72, 12,698.52 and 4,308.40 is: 6,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.72 : 12,698.52 = 4,308.40 : x
  2. Step 2: Convert to fraction form
    8,470.72/12,698.52 = 4,308.40/x
  3. Step 3: Cross multiply
    8,470.72x = 12,698.52 × 4,308.40
  4. Step 4: Simplify right side
    8,470.72x = 54,710,303.57
  5. Step 5: Solve for x
    x = 54,710,303.57/8,470.72
  6. Step 6: Final answer
    x = 6,458.75

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