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Finding the Fourth Proportional to 8,348.64, 12,535.36 and 4,658.08

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Solution

The fourth proportional to 8,348.64, 12,535.36 and 4,658.08 is: 6,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.64 : 12,535.36 = 4,658.08 : x
  2. Step 2: Convert to fraction form
    8,348.64/12,535.36 = 4,658.08/x
  3. Step 3: Cross multiply
    8,348.64x = 12,535.36 × 4,658.08
  4. Step 4: Simplify right side
    8,348.64x = 58,390,709.71
  5. Step 5: Solve for x
    x = 58,390,709.71/8,348.64
  6. Step 6: Final answer
    x = 6,994.04

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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.