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Finding the Fourth Proportional to 10,555.45, 14,568.53 and 7,538.74

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Solution

The fourth proportional to 10,555.45, 14,568.53 and 7,538.74 is: 10,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.45 : 14,568.53 = 7,538.74 : x
  2. Step 2: Convert to fraction form
    10,555.45/14,568.53 = 7,538.74/x
  3. Step 3: Cross multiply
    10,555.45x = 14,568.53 × 7,538.74
  4. Step 4: Simplify right side
    10,555.45x = 109,828,285.74
  5. Step 5: Solve for x
    x = 109,828,285.74/10,555.45
  6. Step 6: Final answer
    x = 10,404.89

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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.