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Finding the Fourth Proportional to 8,406.63, 11,600.74 and 4,870.98

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Solution

The fourth proportional to 8,406.63, 11,600.74 and 4,870.98 is: 6,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.63 : 11,600.74 = 4,870.98 : x
  2. Step 2: Convert to fraction form
    8,406.63/11,600.74 = 4,870.98/x
  3. Step 3: Cross multiply
    8,406.63x = 11,600.74 × 4,870.98
  4. Step 4: Simplify right side
    8,406.63x = 56,506,972.53
  5. Step 5: Solve for x
    x = 56,506,972.53/8,406.63
  6. Step 6: Final answer
    x = 6,721.72

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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.