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Finding the Fourth Proportional to 7,405.60, 10,206.90 and 6,455.46

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Solution

The fourth proportional to 7,405.60, 10,206.90 and 6,455.46 is: 8,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.60 : 10,206.90 = 6,455.46 : x
  2. Step 2: Convert to fraction form
    7,405.60/10,206.90 = 6,455.46/x
  3. Step 3: Cross multiply
    7,405.60x = 10,206.90 × 6,455.46
  4. Step 4: Simplify right side
    7,405.60x = 65,890,234.67
  5. Step 5: Solve for x
    x = 65,890,234.67/7,405.60
  6. Step 6: Final answer
    x = 8,897.35

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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.