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Finding the Fourth Proportional to 10,078.71, 15,123.18 and 4,530.93

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Solution

The fourth proportional to 10,078.71, 15,123.18 and 4,530.93 is: 6,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.71 : 15,123.18 = 4,530.93 : x
  2. Step 2: Convert to fraction form
    10,078.71/15,123.18 = 4,530.93/x
  3. Step 3: Cross multiply
    10,078.71x = 15,123.18 × 4,530.93
  4. Step 4: Simplify right side
    10,078.71x = 68,522,069.96
  5. Step 5: Solve for x
    x = 68,522,069.96/10,078.71
  6. Step 6: Final answer
    x = 6,798.69

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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.