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Finding the Fourth Proportional to 8,530.40, 12,772.52 and 4,417.76

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Solution

The fourth proportional to 8,530.40, 12,772.52 and 4,417.76 is: 6,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.40 : 12,772.52 = 4,417.76 : x
  2. Step 2: Convert to fraction form
    8,530.40/12,772.52 = 4,417.76/x
  3. Step 3: Cross multiply
    8,530.40x = 12,772.52 × 4,417.76
  4. Step 4: Simplify right side
    8,530.40x = 56,425,927.96
  5. Step 5: Solve for x
    x = 56,425,927.96/8,530.40
  6. Step 6: Final answer
    x = 6,614.69

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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.