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Finding the Fourth Proportional to 10,594.14, 15,888.18 and 4,269

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Solution

The fourth proportional to 10,594.14, 15,888.18 and 4,269 is: 6,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.14 : 15,888.18 = 4,269 : x
  2. Step 2: Convert to fraction form
    10,594.14/15,888.18 = 4,269/x
  3. Step 3: Cross multiply
    10,594.14x = 15,888.18 × 4,269
  4. Step 4: Simplify right side
    10,594.14x = 67,826,640.42
  5. Step 5: Solve for x
    x = 67,826,640.42/10,594.14
  6. Step 6: Final answer
    x = 6,402.28

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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.