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Finding the Fourth Proportional to 10,153.19, 15,222.06 and 7,024.88

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Solution

The fourth proportional to 10,153.19, 15,222.06 and 7,024.88 is: 10,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.19 : 15,222.06 = 7,024.88 : x
  2. Step 2: Convert to fraction form
    10,153.19/15,222.06 = 7,024.88/x
  3. Step 3: Cross multiply
    10,153.19x = 15,222.06 × 7,024.88
  4. Step 4: Simplify right side
    10,153.19x = 106,933,068.74
  5. Step 5: Solve for x
    x = 106,933,068.74/10,153.19
  6. Step 6: Final answer
    x = 10,531.97

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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.