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Finding the Fourth Proportional to 7,582.78, 10,461.36 and 4,597.57

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Solution

The fourth proportional to 7,582.78, 10,461.36 and 4,597.57 is: 6,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.78 : 10,461.36 = 4,597.57 : x
  2. Step 2: Convert to fraction form
    7,582.78/10,461.36 = 4,597.57/x
  3. Step 3: Cross multiply
    7,582.78x = 10,461.36 × 4,597.57
  4. Step 4: Simplify right side
    7,582.78x = 48,096,834.90
  5. Step 5: Solve for x
    x = 48,096,834.90/7,582.78
  6. Step 6: Final answer
    x = 6,342.90

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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.