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Finding the Fourth Proportional to 8,429.53, 11,632.75 and 4,703.53

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Solution

The fourth proportional to 8,429.53, 11,632.75 and 4,703.53 is: 6,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.53 : 11,632.75 = 4,703.53 : x
  2. Step 2: Convert to fraction form
    8,429.53/11,632.75 = 4,703.53/x
  3. Step 3: Cross multiply
    8,429.53x = 11,632.75 × 4,703.53
  4. Step 4: Simplify right side
    8,429.53x = 54,714,988.61
  5. Step 5: Solve for x
    x = 54,714,988.61/8,429.53
  6. Step 6: Final answer
    x = 6,490.87

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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.