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Finding the Fourth Proportional to 7,572.42, 11,360.16 and 2,377.08

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Solution

The fourth proportional to 7,572.42, 11,360.16 and 2,377.08 is: 3,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.42 : 11,360.16 = 2,377.08 : x
  2. Step 2: Convert to fraction form
    7,572.42/11,360.16 = 2,377.08/x
  3. Step 3: Cross multiply
    7,572.42x = 11,360.16 × 2,377.08
  4. Step 4: Simplify right side
    7,572.42x = 27,004,009.13
  5. Step 5: Solve for x
    x = 27,004,009.13/7,572.42
  6. Step 6: Final answer
    x = 3,566.10

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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.