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Finding the Fourth Proportional to 8,477.64, 12,690.54 and 5,663.70

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Solution

The fourth proportional to 8,477.64, 12,690.54 and 5,663.70 is: 8,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.64 : 12,690.54 = 5,663.70 : x
  2. Step 2: Convert to fraction form
    8,477.64/12,690.54 = 5,663.70/x
  3. Step 3: Cross multiply
    8,477.64x = 12,690.54 × 5,663.70
  4. Step 4: Simplify right side
    8,477.64x = 71,875,411.40
  5. Step 5: Solve for x
    x = 71,875,411.40/8,477.64
  6. Step 6: Final answer
    x = 8,478.23

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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.