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Finding the Fourth Proportional to 10,615.24, 14,638.89 and 7,219.72

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Solution

The fourth proportional to 10,615.24, 14,638.89 and 7,219.72 is: 9,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.24 : 14,638.89 = 7,219.72 : x
  2. Step 2: Convert to fraction form
    10,615.24/14,638.89 = 7,219.72/x
  3. Step 3: Cross multiply
    10,615.24x = 14,638.89 × 7,219.72
  4. Step 4: Simplify right side
    10,615.24x = 105,688,686.91
  5. Step 5: Solve for x
    x = 105,688,686.91/10,615.24
  6. Step 6: Final answer
    x = 9,956.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.