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Finding the Fourth Proportional to 10,347.85, 15,522.35 and 2,951.74

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Solution

The fourth proportional to 10,347.85, 15,522.35 and 2,951.74 is: 4,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.85 : 15,522.35 = 2,951.74 : x
  2. Step 2: Convert to fraction form
    10,347.85/15,522.35 = 2,951.74/x
  3. Step 3: Cross multiply
    10,347.85x = 15,522.35 × 2,951.74
  4. Step 4: Simplify right side
    10,347.85x = 45,817,887.82
  5. Step 5: Solve for x
    x = 45,817,887.82/10,347.85
  6. Step 6: Final answer
    x = 4,427.77

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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.