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Finding the Fourth Proportional to 8,274.02, 11,417.76 and 4,737.15

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Solution

The fourth proportional to 8,274.02, 11,417.76 and 4,737.15 is: 6,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.02 : 11,417.76 = 4,737.15 : x
  2. Step 2: Convert to fraction form
    8,274.02/11,417.76 = 4,737.15/x
  3. Step 3: Cross multiply
    8,274.02x = 11,417.76 × 4,737.15
  4. Step 4: Simplify right side
    8,274.02x = 54,087,641.78
  5. Step 5: Solve for x
    x = 54,087,641.78/8,274.02
  6. Step 6: Final answer
    x = 6,537.05

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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.