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Finding the Fourth Proportional to 8,315.88, 11,477.52 and 4,781.40

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Solution

The fourth proportional to 8,315.88, 11,477.52 and 4,781.40 is: 6,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.88 : 11,477.52 = 4,781.40 : x
  2. Step 2: Convert to fraction form
    8,315.88/11,477.52 = 4,781.40/x
  3. Step 3: Cross multiply
    8,315.88x = 11,477.52 × 4,781.40
  4. Step 4: Simplify right side
    8,315.88x = 54,878,614.13
  5. Step 5: Solve for x
    x = 54,878,614.13/8,315.88
  6. Step 6: Final answer
    x = 6,599.26

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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.