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Finding the Fourth Proportional to 7,834.58, 11,748.12 and 4,548.58

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Solution

The fourth proportional to 7,834.58, 11,748.12 and 4,548.58 is: 6,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.58 : 11,748.12 = 4,548.58 : x
  2. Step 2: Convert to fraction form
    7,834.58/11,748.12 = 4,548.58/x
  3. Step 3: Cross multiply
    7,834.58x = 11,748.12 × 4,548.58
  4. Step 4: Simplify right side
    7,834.58x = 53,437,263.67
  5. Step 5: Solve for x
    x = 53,437,263.67/7,834.58
  6. Step 6: Final answer
    x = 6,820.69

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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.