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Finding the Fourth Proportional to 10,289.88, 15,434.82 and 2,894.40

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Solution

The fourth proportional to 10,289.88, 15,434.82 and 2,894.40 is: 4,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.88 : 15,434.82 = 2,894.40 : x
  2. Step 2: Convert to fraction form
    10,289.88/15,434.82 = 2,894.40/x
  3. Step 3: Cross multiply
    10,289.88x = 15,434.82 × 2,894.40
  4. Step 4: Simplify right side
    10,289.88x = 44,674,543.01
  5. Step 5: Solve for x
    x = 44,674,543.01/10,289.88
  6. Step 6: Final answer
    x = 4,341.60

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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.