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Finding the Fourth Proportional to 7,808.16, 10,775.52 and 4,271.58

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Solution

The fourth proportional to 7,808.16, 10,775.52 and 4,271.58 is: 5,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 10,775.52 = 4,271.58 : x
  2. Step 2: Convert to fraction form
    7,808.16/10,775.52 = 4,271.58/x
  3. Step 3: Cross multiply
    7,808.16x = 10,775.52 × 4,271.58
  4. Step 4: Simplify right side
    7,808.16x = 46,028,495.72
  5. Step 5: Solve for x
    x = 46,028,495.72/7,808.16
  6. Step 6: Final answer
    x = 5,894.92

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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.