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Finding the Fourth Proportional to 7,446.60, 10,275.39 and 4,461.93

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Solution

The fourth proportional to 7,446.60, 10,275.39 and 4,461.93 is: 6,156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.60 : 10,275.39 = 4,461.93 : x
  2. Step 2: Convert to fraction form
    7,446.60/10,275.39 = 4,461.93/x
  3. Step 3: Cross multiply
    7,446.60x = 10,275.39 × 4,461.93
  4. Step 4: Simplify right side
    7,446.60x = 45,848,070.90
  5. Step 5: Solve for x
    x = 45,848,070.90/7,446.60
  6. Step 6: Final answer
    x = 6,156.91

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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.