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Finding the Fourth Proportional to 7,808.60, 10,775.54 and 4,271.86

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Solution

The fourth proportional to 7,808.60, 10,775.54 and 4,271.86 is: 5,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.60 : 10,775.54 = 4,271.86 : x
  2. Step 2: Convert to fraction form
    7,808.60/10,775.54 = 4,271.86/x
  3. Step 3: Cross multiply
    7,808.60x = 10,775.54 × 4,271.86
  4. Step 4: Simplify right side
    7,808.60x = 46,031,598.30
  5. Step 5: Solve for x
    x = 46,031,598.30/7,808.60
  6. Step 6: Final answer
    x = 5,894.99

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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.