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Finding the Fourth Proportional to 10,464.95, 15,699.13 and 3,442.93

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Solution

The fourth proportional to 10,464.95, 15,699.13 and 3,442.93 is: 5,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.95 : 15,699.13 = 3,442.93 : x
  2. Step 2: Convert to fraction form
    10,464.95/15,699.13 = 3,442.93/x
  3. Step 3: Cross multiply
    10,464.95x = 15,699.13 × 3,442.93
  4. Step 4: Simplify right side
    10,464.95x = 54,050,957.80
  5. Step 5: Solve for x
    x = 54,050,957.80/10,464.95
  6. Step 6: Final answer
    x = 5,164.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.