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Finding the Fourth Proportional to 7,564.65, 10,440.12 and 4,579.93

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Solution

The fourth proportional to 7,564.65, 10,440.12 and 4,579.93 is: 6,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.65 : 10,440.12 = 4,579.93 : x
  2. Step 2: Convert to fraction form
    7,564.65/10,440.12 = 4,579.93/x
  3. Step 3: Cross multiply
    7,564.65x = 10,440.12 × 4,579.93
  4. Step 4: Simplify right side
    7,564.65x = 47,815,018.79
  5. Step 5: Solve for x
    x = 47,815,018.79/7,564.65
  6. Step 6: Final answer
    x = 6,320.85

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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.