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Finding the Fourth Proportional to 7,470.64, 10,305.48 and 4,636.24

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Solution

The fourth proportional to 7,470.64, 10,305.48 and 4,636.24 is: 6,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.64 : 10,305.48 = 4,636.24 : x
  2. Step 2: Convert to fraction form
    7,470.64/10,305.48 = 4,636.24/x
  3. Step 3: Cross multiply
    7,470.64x = 10,305.48 × 4,636.24
  4. Step 4: Simplify right side
    7,470.64x = 47,778,678.60
  5. Step 5: Solve for x
    x = 47,778,678.60/7,470.64
  6. Step 6: Final answer
    x = 6,395.53

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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.